What do the following lines from the Gettysburg Address mean?

It is for us the living, rather, to be dedicated here to the unfinished work which they who fought here have thus far so nobly advanced.

Those of us who are still alive need to promise to continue to fight for the ideas for which these men died.
Those of us who are still alive need to finish the work of burying the dead.
Those of us who are living need to stop fighting immediately.
Those of us who are living must fight harder to finish the battle of Gettysburg so that these men will not have died in vain.

Those of us who are still alive must continue the work that those who fought at Gettysburg started, as they have already accomplished so much with their bravery and dedication.

The correct interpretation of the following lines from the Gettysburg Address is:

"It is for us the living, rather, to be dedicated here to the unfinished work which they who fought here have thus far so nobly advanced."

This passage means that it is our responsibility, as the ones who are still alive, to devote ourselves to the ongoing efforts that those who fought in Gettysburg initiated and have bravely progressed thus far.

The intended meaning is: Those of us who are still alive need to fight wholeheartedly to complete the goals that were left unfinished by those who fought in this battle and have so far made admirable progress.