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Finding the Fourth Proportional to 3,843.69, 5,767.36 and 2,286.77

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Solution

The fourth proportional to 3,843.69, 5,767.36 and 2,286.77 is: 3,431.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.69 : 5,767.36 = 2,286.77 : x
  2. Step 2: Convert to fraction form
    3,843.69/5,767.36 = 2,286.77/x
  3. Step 3: Cross multiply
    3,843.69x = 5,767.36 × 2,286.77
  4. Step 4: Simplify right side
    3,843.69x = 13,188,607.87
  5. Step 5: Solve for x
    x = 13,188,607.87/3,843.69
  6. Step 6: Final answer
    x = 3,431.24

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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.