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Finding the Fourth Proportional to 3,494.88, 5,229.76 and 2,568.13

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Solution

The fourth proportional to 3,494.88, 5,229.76 and 2,568.13 is: 3,842.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.88 : 5,229.76 = 2,568.13 : x
  2. Step 2: Convert to fraction form
    3,494.88/5,229.76 = 2,568.13/x
  3. Step 3: Cross multiply
    3,494.88x = 5,229.76 × 2,568.13
  4. Step 4: Simplify right side
    3,494.88x = 13,430,703.78
  5. Step 5: Solve for x
    x = 13,430,703.78/3,494.88
  6. Step 6: Final answer
    x = 3,842.97

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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.