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Finding the Fourth Proportional to 3,634.59, 5,452.61 and 1,169.22

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Solution

The fourth proportional to 3,634.59, 5,452.61 and 1,169.22 is: 1,754.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.59 : 5,452.61 = 1,169.22 : x
  2. Step 2: Convert to fraction form
    3,634.59/5,452.61 = 1,169.22/x
  3. Step 3: Cross multiply
    3,634.59x = 5,452.61 × 1,169.22
  4. Step 4: Simplify right side
    3,634.59x = 6,375,300.66
  5. Step 5: Solve for x
    x = 6,375,300.66/3,634.59
  6. Step 6: Final answer
    x = 1,754.06

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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.