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Finding the Fourth Proportional to 5,734.32, 8,604.38 and 2,613.97

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Solution

The fourth proportional to 5,734.32, 8,604.38 and 2,613.97 is: 3,922.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.32 : 8,604.38 = 2,613.97 : x
  2. Step 2: Convert to fraction form
    5,734.32/8,604.38 = 2,613.97/x
  3. Step 3: Cross multiply
    5,734.32x = 8,604.38 × 2,613.97
  4. Step 4: Simplify right side
    5,734.32x = 22,491,591.19
  5. Step 5: Solve for x
    x = 22,491,591.19/5,734.32
  6. Step 6: Final answer
    x = 3,922.28

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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.