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Finding the Fourth Proportional to 3,614.85, 5,422.22 and 1,149.64

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Solution

The fourth proportional to 3,614.85, 5,422.22 and 1,149.64 is: 1,724.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.85 : 5,422.22 = 1,149.64 : x
  2. Step 2: Convert to fraction form
    3,614.85/5,422.22 = 1,149.64/x
  3. Step 3: Cross multiply
    3,614.85x = 5,422.22 × 1,149.64
  4. Step 4: Simplify right side
    3,614.85x = 6,233,586.24
  5. Step 5: Solve for x
    x = 6,233,586.24/3,614.85
  6. Step 6: Final answer
    x = 1,724.44

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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.