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Finding the Fourth Proportional to 3,609.67, 5,414.10 and 1,144.30

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Solution

The fourth proportional to 3,609.67, 5,414.10 and 1,144.30 is: 1,716.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.67 : 5,414.10 = 1,144.30 : x
  2. Step 2: Convert to fraction form
    3,609.67/5,414.10 = 1,144.30/x
  3. Step 3: Cross multiply
    3,609.67x = 5,414.10 × 1,144.30
  4. Step 4: Simplify right side
    3,609.67x = 6,195,354.63
  5. Step 5: Solve for x
    x = 6,195,354.63/3,609.67
  6. Step 6: Final answer
    x = 1,716.32

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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.