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Finding the Fourth Proportional to 3,614.67, 5,422.74 and 1,149.42

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Solution

The fourth proportional to 3,614.67, 5,422.74 and 1,149.42 is: 1,724.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.67 : 5,422.74 = 1,149.42 : x
  2. Step 2: Convert to fraction form
    3,614.67/5,422.74 = 1,149.42/x
  3. Step 3: Cross multiply
    3,614.67x = 5,422.74 × 1,149.42
  4. Step 4: Simplify right side
    3,614.67x = 6,233,005.81
  5. Step 5: Solve for x
    x = 6,233,005.81/3,614.67
  6. Step 6: Final answer
    x = 1,724.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.