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Finding the Fourth Proportional to 3,652.52, 5,041.78 and 2,160.96

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Solution

The fourth proportional to 3,652.52, 5,041.78 and 2,160.96 is: 2,982.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.52 : 5,041.78 = 2,160.96 : x
  2. Step 2: Convert to fraction form
    3,652.52/5,041.78 = 2,160.96/x
  3. Step 3: Cross multiply
    3,652.52x = 5,041.78 × 2,160.96
  4. Step 4: Simplify right side
    3,652.52x = 10,895,084.91
  5. Step 5: Solve for x
    x = 10,895,084.91/3,652.52
  6. Step 6: Final answer
    x = 2,982.90

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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.