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Finding the Fourth Proportional to 5,767.85, 8,654.50 and 3,432.47

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Solution

The fourth proportional to 5,767.85, 8,654.50 and 3,432.47 is: 5,150.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.85 : 8,654.50 = 3,432.47 : x
  2. Step 2: Convert to fraction form
    5,767.85/8,654.50 = 3,432.47/x
  3. Step 3: Cross multiply
    5,767.85x = 8,654.50 × 3,432.47
  4. Step 4: Simplify right side
    5,767.85x = 29,706,311.62
  5. Step 5: Solve for x
    x = 29,706,311.62/5,767.85
  6. Step 6: Final answer
    x = 5,150.33

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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.