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Finding the Fourth Proportional to 3,635.50, 5,016.92 and 2,143.48

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Solution

The fourth proportional to 3,635.50, 5,016.92 and 2,143.48 is: 2,957.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.50 : 5,016.92 = 2,143.48 : x
  2. Step 2: Convert to fraction form
    3,635.50/5,016.92 = 2,143.48/x
  3. Step 3: Cross multiply
    3,635.50x = 5,016.92 × 2,143.48
  4. Step 4: Simplify right side
    3,635.50x = 10,753,667.68
  5. Step 5: Solve for x
    x = 10,753,667.68/3,635.50
  6. Step 6: Final answer
    x = 2,957.96

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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.