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Finding the Fourth Proportional to 3,517.82, 5,276.37 and 920.42

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Solution

The fourth proportional to 3,517.82, 5,276.37 and 920.42 is: 1,380.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.82 : 5,276.37 = 920.42 : x
  2. Step 2: Convert to fraction form
    3,517.82/5,276.37 = 920.42/x
  3. Step 3: Cross multiply
    3,517.82x = 5,276.37 × 920.42
  4. Step 4: Simplify right side
    3,517.82x = 4,856,476.48
  5. Step 5: Solve for x
    x = 4,856,476.48/3,517.82
  6. Step 6: Final answer
    x = 1,380.54

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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.