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Finding the Fourth Proportional to 3,843.17, 5,767.05 and 1,651.85

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Solution

The fourth proportional to 3,843.17, 5,767.05 and 1,651.85 is: 2,478.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.17 : 5,767.05 = 1,651.85 : x
  2. Step 2: Convert to fraction form
    3,843.17/5,767.05 = 1,651.85/x
  3. Step 3: Cross multiply
    3,843.17x = 5,767.05 × 1,651.85
  4. Step 4: Simplify right side
    3,843.17x = 9,526,301.54
  5. Step 5: Solve for x
    x = 9,526,301.54/3,843.17
  6. Step 6: Final answer
    x = 2,478.76

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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.