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Finding the Fourth Proportional to 3,693.64, 5,538.30 and 2,231.92

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Solution

The fourth proportional to 3,693.64, 5,538.30 and 2,231.92 is: 3,346.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.64 : 5,538.30 = 2,231.92 : x
  2. Step 2: Convert to fraction form
    3,693.64/5,538.30 = 2,231.92/x
  3. Step 3: Cross multiply
    3,693.64x = 5,538.30 × 2,231.92
  4. Step 4: Simplify right side
    3,693.64x = 12,361,042.54
  5. Step 5: Solve for x
    x = 12,361,042.54/3,693.64
  6. Step 6: Final answer
    x = 3,346.57

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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.