aha. I see. as far as I can tell that POST code does appear to be RAM related. Try it with only one stick. It's possible it could be the connection of the sockets to the Mobo too but there shouldn't be a reason for that as they're comfortably housed inside the laptop.
EDIT: Might not be ram. This isn't for your specific model but for "inspiron" models.
1 Long beep - Memory refresh circuitry has failed which indicates a problem with the motherboard. Try reseating the memory DIMM or SIMM modules. Make sure if you have added memory that it is rated at the correct speed for the system.
1 Long 2 Short beeps - The video adapter has failed, or the video memory is having a read/write failure. Try reseating the video card. If the video card is a PCI video card, try moving it to another slot.
1 Long 3 Short beeps - The system does not detect a monitor. Verify that the monitor cable is properly attached to the video card or the onboard video and to the monitor (if the monitor has a detachable cable). If possible, try another monitor on the system to verify that the video adapter is operating properly.
2 or 3 beeps - There is a problem with the system’s memory. Reseat the memory DIMM or SIMM modules.
4 beeps - This indicates a non-functional timer. This indicates a problem with the motherboard.
5 beeps - This indicates a CPU (Central Processing Unit or processor) failure. Try reseating the processor.
6 beeps - This indicates a keyboard controller failure. Try reseating the keyboard connector.
7 beeps - Another indication of a processor problem. Reseat the processor.
8 beeps - This indicates a video memory read/write failure. Reseat the video card (if any) and memory DIMM or SIMM modules.
9 or 10 beeps - This indicates a ROM (Read-Only Memory) checksum error or shutdown register failure. This indicates a defective BIOS chip(s). Reseat the BIOS chips.
11 beeps - Indicates an error in the cache memory. If the system has a Pentium class processor, reseat the processor. If the system has a cache memory module, try reseating it. These beep codes will vary depending on the system
if you're getting 4 that might indicate something with the mobo.