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Finding the Fourth Proportional to 3,843.68, 5,761.82 and 2,453.09

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Solution

The fourth proportional to 3,843.68, 5,761.82 and 2,453.09 is: 3,677.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.68 : 5,761.82 = 2,453.09 : x
  2. Step 2: Convert to fraction form
    3,843.68/5,761.82 = 2,453.09/x
  3. Step 3: Cross multiply
    3,843.68x = 5,761.82 × 2,453.09
  4. Step 4: Simplify right side
    3,843.68x = 14,134,240.35
  5. Step 5: Solve for x
    x = 14,134,240.35/3,843.68
  6. Step 6: Final answer
    x = 3,677.27

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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.