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Finding the Fourth Proportional to 3,062.92, 4,593.00 and 871.13

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Solution

The fourth proportional to 3,062.92, 4,593.00 and 871.13 is: 1,306.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,062.92 : 4,593.00 = 871.13 : x
  2. Step 2: Convert to fraction form
    3,062.92/4,593.00 = 871.13/x
  3. Step 3: Cross multiply
    3,062.92x = 4,593.00 × 871.13
  4. Step 4: Simplify right side
    3,062.92x = 4,001,089.00
  5. Step 5: Solve for x
    x = 4,001,089.00/3,062.92
  6. Step 6: Final answer
    x = 1,306.30

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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.