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Finding the Fourth Proportional to 3,634.17, 5,452.17 and 1,442.18

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Solution

The fourth proportional to 3,634.17, 5,452.17 and 1,442.18 is: 2,163.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.17 : 5,452.17 = 1,442.18 : x
  2. Step 2: Convert to fraction form
    3,634.17/5,452.17 = 1,442.18/x
  3. Step 3: Cross multiply
    3,634.17x = 5,452.17 × 1,442.18
  4. Step 4: Simplify right side
    3,634.17x = 7,862,977.86
  5. Step 5: Solve for x
    x = 7,862,977.86/3,634.17
  6. Step 6: Final answer
    x = 2,163.62

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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.