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Finding the Fourth Proportional to 5,892.52, 8,139.54 and 4,129.96

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Solution

The fourth proportional to 5,892.52, 8,139.54 and 4,129.96 is: 5,704.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.52 : 8,139.54 = 4,129.96 : x
  2. Step 2: Convert to fraction form
    5,892.52/8,139.54 = 4,129.96/x
  3. Step 3: Cross multiply
    5,892.52x = 8,139.54 × 4,129.96
  4. Step 4: Simplify right side
    5,892.52x = 33,615,974.62
  5. Step 5: Solve for x
    x = 33,615,974.62/5,892.52
  6. Step 6: Final answer
    x = 5,704.86

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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.