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Finding the Fourth Proportional to 4,489.27, 6,194.96 and 2,500

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Solution

The fourth proportional to 4,489.27, 6,194.96 and 2,500 is: 3,449.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.27 : 6,194.96 = 2,500 : x
  2. Step 2: Convert to fraction form
    4,489.27/6,194.96 = 2,500/x
  3. Step 3: Cross multiply
    4,489.27x = 6,194.96 × 2,500
  4. Step 4: Simplify right side
    4,489.27x = 15,487,400
  5. Step 5: Solve for x
    x = 15,487,400/4,489.27
  6. Step 6: Final answer
    x = 3,449.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.