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Finding the Fourth Proportional to 4,229.04, 6,344.92 and 2,038

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Solution

The fourth proportional to 4,229.04, 6,344.92 and 2,038 is: 3,057.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.04 : 6,344.92 = 2,038 : x
  2. Step 2: Convert to fraction form
    4,229.04/6,344.92 = 2,038/x
  3. Step 3: Cross multiply
    4,229.04x = 6,344.92 × 2,038
  4. Step 4: Simplify right side
    4,229.04x = 12,930,946.96
  5. Step 5: Solve for x
    x = 12,930,946.96/4,229.04
  6. Step 6: Final answer
    x = 3,057.66

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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.