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Finding the Fourth Proportional to 5,614.31, 8,355.17 and 5,427.43

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Solution

The fourth proportional to 5,614.31, 8,355.17 and 5,427.43 is: 8,077.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.31 : 8,355.17 = 5,427.43 : x
  2. Step 2: Convert to fraction form
    5,614.31/8,355.17 = 5,427.43/x
  3. Step 3: Cross multiply
    5,614.31x = 8,355.17 × 5,427.43
  4. Step 4: Simplify right side
    5,614.31x = 45,347,092.99
  5. Step 5: Solve for x
    x = 45,347,092.99/5,614.31
  6. Step 6: Final answer
    x = 8,077.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.