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Finding the Fourth Proportional to 3,634.41, 5,452.68 and 1,169.19

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Solution

The fourth proportional to 3,634.41, 5,452.68 and 1,169.19 is: 1,754.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.41 : 5,452.68 = 1,169.19 : x
  2. Step 2: Convert to fraction form
    3,634.41/5,452.68 = 1,169.19/x
  3. Step 3: Cross multiply
    3,634.41x = 5,452.68 × 1,169.19
  4. Step 4: Simplify right side
    3,634.41x = 6,375,218.93
  5. Step 5: Solve for x
    x = 6,375,218.93/3,634.41
  6. Step 6: Final answer
    x = 1,754.13

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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.