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Finding the Fourth Proportional to 5,263.97, 7,264.17 and 2,906.09

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Solution

The fourth proportional to 5,263.97, 7,264.17 and 2,906.09 is: 4,010.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.97 : 7,264.17 = 2,906.09 : x
  2. Step 2: Convert to fraction form
    5,263.97/7,264.17 = 2,906.09/x
  3. Step 3: Cross multiply
    5,263.97x = 7,264.17 × 2,906.09
  4. Step 4: Simplify right side
    5,263.97x = 21,110,331.80
  5. Step 5: Solve for x
    x = 21,110,331.80/5,263.97
  6. Step 6: Final answer
    x = 4,010.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.