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Finding the Fourth Proportional to 3,693.80, 5,540.70 and 2,232.20

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Solution

The fourth proportional to 3,693.80, 5,540.70 and 2,232.20 is: 3,348.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.80 : 5,540.70 = 2,232.20 : x
  2. Step 2: Convert to fraction form
    3,693.80/5,540.70 = 2,232.20/x
  3. Step 3: Cross multiply
    3,693.80x = 5,540.70 × 2,232.20
  4. Step 4: Simplify right side
    3,693.80x = 12,367,950.54
  5. Step 5: Solve for x
    x = 12,367,950.54/3,693.80
  6. Step 6: Final answer
    x = 3,348.30

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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.