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Finding the Fourth Proportional to 3,062.36, 4,593.92 and 871.20

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Solution

The fourth proportional to 3,062.36, 4,593.92 and 871.20 is: 1,306.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,062.36 : 4,593.92 = 871.20 : x
  2. Step 2: Convert to fraction form
    3,062.36/4,593.92 = 871.20/x
  3. Step 3: Cross multiply
    3,062.36x = 4,593.92 × 871.20
  4. Step 4: Simplify right side
    3,062.36x = 4,002,223.10
  5. Step 5: Solve for x
    x = 4,002,223.10/3,062.36
  6. Step 6: Final answer
    x = 1,306.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.