Omit Worksheet From Calculation

Broadly, my workbook contains 5 worksheets. Worksheets 1, 2 and 3 contain calculations, worksheet 4 contains a summary of calculations from worksheets 1, 2 and 3. Worksheet 5 is a data table used for worksheets 1, 2 and 3.

I need the worksheets to calculate in the following order:
1. Worksheets 1 and 2 extract data from worksheet 5.
2. Worksheet 4 captures that data.
3. Worksheet 3 uses the data from worksheet 4 and extracts data from worksheet 5.
4. worksheets 1 and 2 recalculate using the calculation from worksheet 3.
5. Worksheet 4 captures the refreshed data from worksheets 1 and 2.

Is there a way, using formulas in the worksheets, to ignore worksheet 3 on the first iteration of worksheets 1 and 2, and prevent recalculation on the second iteration of worksheet 1 and 2?

In my mind I can see Excel simply recalculating over and over again, or will it stop. Is there actually a "problem" here or am I perceiving something that will not occur?