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Finding the Fourth Proportional to 3,635.92, 5,452.72 and 1,170.15

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Solution

The fourth proportional to 3,635.92, 5,452.72 and 1,170.15 is: 1,754.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.92 : 5,452.72 = 1,170.15 : x
  2. Step 2: Convert to fraction form
    3,635.92/5,452.72 = 1,170.15/x
  3. Step 3: Cross multiply
    3,635.92x = 5,452.72 × 1,170.15
  4. Step 4: Simplify right side
    3,635.92x = 6,380,500.31
  5. Step 5: Solve for x
    x = 6,380,500.31/3,635.92
  6. Step 6: Final answer
    x = 1,754.85

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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.