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Finding the Fourth Proportional to 3,062.60, 4,593.87 and 871.25

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Solution

The fourth proportional to 3,062.60, 4,593.87 and 871.25 is: 1,306.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,062.60 : 4,593.87 = 871.25 : x
  2. Step 2: Convert to fraction form
    3,062.60/4,593.87 = 871.25/x
  3. Step 3: Cross multiply
    3,062.60x = 4,593.87 × 871.25
  4. Step 4: Simplify right side
    3,062.60x = 4,002,386.27
  5. Step 5: Solve for x
    x = 4,002,386.27/3,062.60
  6. Step 6: Final answer
    x = 1,306.86

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Why These Related Problems?

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