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Finding the Fourth Proportional to 3,634.97, 5,453.17 and 1,169.60

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Solution

The fourth proportional to 3,634.97, 5,453.17 and 1,169.60 is: 1,754.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.97 : 5,453.17 = 1,169.60 : x
  2. Step 2: Convert to fraction form
    3,634.97/5,453.17 = 1,169.60/x
  3. Step 3: Cross multiply
    3,634.97x = 5,453.17 × 1,169.60
  4. Step 4: Simplify right side
    3,634.97x = 6,377,997.44
  5. Step 5: Solve for x
    x = 6,377,997.44/3,634.97
  6. Step 6: Final answer
    x = 1,754.62

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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.