You’re welcome, Dammes. A memory upgrade definitely can’t hurt, but the problem is more likely rooted in the inherent limits of a 32-bit system. If you could (and you can’t) install 32GB of RAM into your computer, your OS could still only allot 4GB to FCP, and FCP’s basic operations would consume 1.5GB of that, leaving 2.5GB for operations like log and transfer.
So go ahead and upgrade your memory, because going from 4GB to 8GB will only set you back $35 (if you do it by yourself), but also look at tools that would allow you to break your very large file into smaller files, which your OS would be able to process without bumping up against the memory ceiling (and crashing to the floor).