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Finding the Fourth Proportional to 5,682.59, 8,523.84 and 2,171.78

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Solution

The fourth proportional to 5,682.59, 8,523.84 and 2,171.78 is: 3,257.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.59 : 8,523.84 = 2,171.78 : x
  2. Step 2: Convert to fraction form
    5,682.59/8,523.84 = 2,171.78/x
  3. Step 3: Cross multiply
    5,682.59x = 8,523.84 × 2,171.78
  4. Step 4: Simplify right side
    5,682.59x = 18,511,862.62
  5. Step 5: Solve for x
    x = 18,511,862.62/5,682.59
  6. Step 6: Final answer
    x = 3,257.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.