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Finding the Fourth Proportional to 3,759.78, 5,641.68 and 2,116.44

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Solution

The fourth proportional to 3,759.78, 5,641.68 and 2,116.44 is: 3,175.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.78 : 5,641.68 = 2,116.44 : x
  2. Step 2: Convert to fraction form
    3,759.78/5,641.68 = 2,116.44/x
  3. Step 3: Cross multiply
    3,759.78x = 5,641.68 × 2,116.44
  4. Step 4: Simplify right side
    3,759.78x = 11,940,277.22
  5. Step 5: Solve for x
    x = 11,940,277.22/3,759.78
  6. Step 6: Final answer
    x = 3,175.79

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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.