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Finding the Fourth Proportional to 5,149.80, 7,107.89 and 2,912.97

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Solution

The fourth proportional to 5,149.80, 7,107.89 and 2,912.97 is: 4,020.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.80 : 7,107.89 = 2,912.97 : x
  2. Step 2: Convert to fraction form
    5,149.80/7,107.89 = 2,912.97/x
  3. Step 3: Cross multiply
    5,149.80x = 7,107.89 × 2,912.97
  4. Step 4: Simplify right side
    5,149.80x = 20,705,070.33
  5. Step 5: Solve for x
    x = 20,705,070.33/5,149.80
  6. Step 6: Final answer
    x = 4,020.56

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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.