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Finding the Fourth Proportional to 3,273.67, 4,517.72 and 1,947.34

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Solution

The fourth proportional to 3,273.67, 4,517.72 and 1,947.34 is: 2,687.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273.67 : 4,517.72 = 1,947.34 : x
  2. Step 2: Convert to fraction form
    3,273.67/4,517.72 = 1,947.34/x
  3. Step 3: Cross multiply
    3,273.67x = 4,517.72 × 1,947.34
  4. Step 4: Simplify right side
    3,273.67x = 8,797,536.86
  5. Step 5: Solve for x
    x = 8,797,536.86/3,273.67
  6. Step 6: Final answer
    x = 2,687.36

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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.