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Finding the Fourth Proportional to 3,614.31, 5,395.57 and 3,454.74

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Solution

The fourth proportional to 3,614.31, 5,395.57 and 3,454.74 is: 5,157.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.31 : 5,395.57 = 3,454.74 : x
  2. Step 2: Convert to fraction form
    3,614.31/5,395.57 = 3,454.74/x
  3. Step 3: Cross multiply
    3,614.31x = 5,395.57 × 3,454.74
  4. Step 4: Simplify right side
    3,614.31x = 18,640,282.86
  5. Step 5: Solve for x
    x = 18,640,282.86/3,614.31
  6. Step 6: Final answer
    x = 5,157.36

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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.