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Finding the Fourth Proportional to 3,471.75, 4,791.02 and 2,229.75

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Solution

The fourth proportional to 3,471.75, 4,791.02 and 2,229.75 is: 3,077.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.75 : 4,791.02 = 2,229.75 : x
  2. Step 2: Convert to fraction form
    3,471.75/4,791.02 = 2,229.75/x
  3. Step 3: Cross multiply
    3,471.75x = 4,791.02 × 2,229.75
  4. Step 4: Simplify right side
    3,471.75x = 10,682,765.70
  5. Step 5: Solve for x
    x = 10,682,765.70/3,471.75
  6. Step 6: Final answer
    x = 3,077.06

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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.