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Finding the Fourth Proportional to 4,229.34, 6,344.04 and 2,766.48

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Solution

The fourth proportional to 4,229.34, 6,344.04 and 2,766.48 is: 4,149.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.34 : 6,344.04 = 2,766.48 : x
  2. Step 2: Convert to fraction form
    4,229.34/6,344.04 = 2,766.48/x
  3. Step 3: Cross multiply
    4,229.34x = 6,344.04 × 2,766.48
  4. Step 4: Simplify right side
    4,229.34x = 17,550,659.78
  5. Step 5: Solve for x
    x = 17,550,659.78/4,229.34
  6. Step 6: Final answer
    x = 4,149.74

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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.