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Finding the Fourth Proportional to 3,638.74, 5,016.18 and 2,517.97

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Solution

The fourth proportional to 3,638.74, 5,016.18 and 2,517.97 is: 3,471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.74 : 5,016.18 = 2,517.97 : x
  2. Step 2: Convert to fraction form
    3,638.74/5,016.18 = 2,517.97/x
  3. Step 3: Cross multiply
    3,638.74x = 5,016.18 × 2,517.97
  4. Step 4: Simplify right side
    3,638.74x = 12,630,590.75
  5. Step 5: Solve for x
    x = 12,630,590.75/3,638.74
  6. Step 6: Final answer
    x = 3,471.14

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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.