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Finding the Fourth Proportional to 6,132.92, 8,464.54 and 3,614.89

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Solution

The fourth proportional to 6,132.92, 8,464.54 and 3,614.89 is: 4,989.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,132.92 : 8,464.54 = 3,614.89 : x
  2. Step 2: Convert to fraction form
    6,132.92/8,464.54 = 3,614.89/x
  3. Step 3: Cross multiply
    6,132.92x = 8,464.54 × 3,614.89
  4. Step 4: Simplify right side
    6,132.92x = 30,598,320.60
  5. Step 5: Solve for x
    x = 30,598,320.60/6,132.92
  6. Step 6: Final answer
    x = 4,989.19

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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.