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Finding the Fourth Proportional to 3,634.72, 5,452.94 and 1,169.57

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Solution

The fourth proportional to 3,634.72, 5,452.94 and 1,169.57 is: 1,754.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.72 : 5,452.94 = 1,169.57 : x
  2. Step 2: Convert to fraction form
    3,634.72/5,452.94 = 1,169.57/x
  3. Step 3: Cross multiply
    3,634.72x = 5,452.94 × 1,169.57
  4. Step 4: Simplify right side
    3,634.72x = 6,377,611.59
  5. Step 5: Solve for x
    x = 6,377,611.59/3,634.72
  6. Step 6: Final answer
    x = 1,754.64

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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.