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Finding the Fourth Proportional to 3,843.90, 5,761.73 and 2,744.93

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Solution

The fourth proportional to 3,843.90, 5,761.73 and 2,744.93 is: 4,114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.90 : 5,761.73 = 2,744.93 : x
  2. Step 2: Convert to fraction form
    3,843.90/5,761.73 = 2,744.93/x
  3. Step 3: Cross multiply
    3,843.90x = 5,761.73 × 2,744.93
  4. Step 4: Simplify right side
    3,843.90x = 15,815,545.53
  5. Step 5: Solve for x
    x = 15,815,545.53/3,843.90
  6. Step 6: Final answer
    x = 4,114.45

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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.