Translating list of inaccurate geo coordinates based on limited accurate geo coordinate data

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I have a list of coordinates, about 850 in total.

I need to place them on a map but at the moment, they are slightly off from their proper locations.

I was wondering what the best method to translate (and account for rotation) the points would be.

For example:

Accurate:                  Corresponding Inaccurate:

4.545975, -74.481961       4.54602,  -74.482059
4.545592, -74.482415       4.545514, -74.482458

Any advice would be appreciated.