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Finding the Fourth Proportional to 3,843.33, 5,757.71 and 1,896.90

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Solution

The fourth proportional to 3,843.33, 5,757.71 and 1,896.90 is: 2,841.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.33 : 5,757.71 = 1,896.90 : x
  2. Step 2: Convert to fraction form
    3,843.33/5,757.71 = 1,896.90/x
  3. Step 3: Cross multiply
    3,843.33x = 5,757.71 × 1,896.90
  4. Step 4: Simplify right side
    3,843.33x = 10,921,790.61
  5. Step 5: Solve for x
    x = 10,921,790.61/3,843.33
  6. Step 6: Final answer
    x = 2,841.75

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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.