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Finding the Fourth Proportional to 3,932.62, 5,891.97 and 2,079.62

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Solution

The fourth proportional to 3,932.62, 5,891.97 and 2,079.62 is: 3,115.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.62 : 5,891.97 = 2,079.62 : x
  2. Step 2: Convert to fraction form
    3,932.62/5,891.97 = 2,079.62/x
  3. Step 3: Cross multiply
    3,932.62x = 5,891.97 × 2,079.62
  4. Step 4: Simplify right side
    3,932.62x = 12,253,058.65
  5. Step 5: Solve for x
    x = 12,253,058.65/3,932.62
  6. Step 6: Final answer
    x = 3,115.75

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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.