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Finding the Fourth Proportional to 3,063.29, 4,593.57 and 871.52

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Solution

The fourth proportional to 3,063.29, 4,593.57 and 871.52 is: 1,306.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,063.29 : 4,593.57 = 871.52 : x
  2. Step 2: Convert to fraction form
    3,063.29/4,593.57 = 871.52/x
  3. Step 3: Cross multiply
    3,063.29x = 4,593.57 × 871.52
  4. Step 4: Simplify right side
    3,063.29x = 4,003,365.16
  5. Step 5: Solve for x
    x = 4,003,365.16/3,063.29
  6. Step 6: Final answer
    x = 1,306.89

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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.