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Finding the Fourth Proportional to 3,635.43, 5,452.62 and 1,169.93

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Solution

The fourth proportional to 3,635.43, 5,452.62 and 1,169.93 is: 1,754.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.43 : 5,452.62 = 1,169.93 : x
  2. Step 2: Convert to fraction form
    3,635.43/5,452.62 = 1,169.93/x
  3. Step 3: Cross multiply
    3,635.43x = 5,452.62 × 1,169.93
  4. Step 4: Simplify right side
    3,635.43x = 6,379,183.72
  5. Step 5: Solve for x
    x = 6,379,183.72/3,635.43
  6. Step 6: Final answer
    x = 1,754.73

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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.