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Finding the Fourth Proportional to 4,229.40, 6,337.17 and 4,067.40

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Solution

The fourth proportional to 4,229.40, 6,337.17 and 4,067.40 is: 6,094.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.40 : 6,337.17 = 4,067.40 : x
  2. Step 2: Convert to fraction form
    4,229.40/6,337.17 = 4,067.40/x
  3. Step 3: Cross multiply
    4,229.40x = 6,337.17 × 4,067.40
  4. Step 4: Simplify right side
    4,229.40x = 25,775,805.26
  5. Step 5: Solve for x
    x = 25,775,805.26/4,229.40
  6. Step 6: Final answer
    x = 6,094.44

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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.