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Finding the Fourth Proportional to 4,306.52, 6,442.52 and 3,727.82

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Solution

The fourth proportional to 4,306.52, 6,442.52 and 3,727.82 is: 5,576.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306.52 : 6,442.52 = 3,727.82 : x
  2. Step 2: Convert to fraction form
    4,306.52/6,442.52 = 3,727.82/x
  3. Step 3: Cross multiply
    4,306.52x = 6,442.52 × 3,727.82
  4. Step 4: Simplify right side
    4,306.52x = 24,016,504.05
  5. Step 5: Solve for x
    x = 24,016,504.05/4,306.52
  6. Step 6: Final answer
    x = 5,576.78

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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.