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Finding the Fourth Proportional to 3,638.64, 5,456.61 and 2,474.97

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Solution

The fourth proportional to 3,638.64, 5,456.61 and 2,474.97 is: 3,711.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.64 : 5,456.61 = 2,474.97 : x
  2. Step 2: Convert to fraction form
    3,638.64/5,456.61 = 2,474.97/x
  3. Step 3: Cross multiply
    3,638.64x = 5,456.61 × 2,474.97
  4. Step 4: Simplify right side
    3,638.64x = 13,504,946.05
  5. Step 5: Solve for x
    x = 13,504,946.05/3,638.64
  6. Step 6: Final answer
    x = 3,711.54

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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.