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Finding the Fourth Proportional to 7,201.75, 9,938.92 and 4,057.95

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Solution

The fourth proportional to 7,201.75, 9,938.92 and 4,057.95 is: 5,600.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.75 : 9,938.92 = 4,057.95 : x
  2. Step 2: Convert to fraction form
    7,201.75/9,938.92 = 4,057.95/x
  3. Step 3: Cross multiply
    7,201.75x = 9,938.92 × 4,057.95
  4. Step 4: Simplify right side
    7,201.75x = 40,331,640.41
  5. Step 5: Solve for x
    x = 40,331,640.41/7,201.75
  6. Step 6: Final answer
    x = 5,600.26

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