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Finding the Fourth Proportional to 5,387.72, 7,432.54 and 3,149.68

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Solution

The fourth proportional to 5,387.72, 7,432.54 and 3,149.68 is: 4,345.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,387.72 : 7,432.54 = 3,149.68 : x
  2. Step 2: Convert to fraction form
    5,387.72/7,432.54 = 3,149.68/x
  3. Step 3: Cross multiply
    5,387.72x = 7,432.54 × 3,149.68
  4. Step 4: Simplify right side
    5,387.72x = 23,410,122.59
  5. Step 5: Solve for x
    x = 23,410,122.59/5,387.72
  6. Step 6: Final answer
    x = 4,345.09

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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.