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Finding the Fourth Proportional to 3,472.34, 5,227.10 and 3,115.13

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Solution

The fourth proportional to 3,472.34, 5,227.10 and 3,115.13 is: 4,689.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.34 : 5,227.10 = 3,115.13 : x
  2. Step 2: Convert to fraction form
    3,472.34/5,227.10 = 3,115.13/x
  3. Step 3: Cross multiply
    3,472.34x = 5,227.10 × 3,115.13
  4. Step 4: Simplify right side
    3,472.34x = 16,283,065.99
  5. Step 5: Solve for x
    x = 16,283,065.99/3,472.34
  6. Step 6: Final answer
    x = 4,689.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.