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Finding the Fourth Proportional to 3,857.68, 5,324.28 and 2,286.64

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Solution

The fourth proportional to 3,857.68, 5,324.28 and 2,286.64 is: 3,155.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.68 : 5,324.28 = 2,286.64 : x
  2. Step 2: Convert to fraction form
    3,857.68/5,324.28 = 2,286.64/x
  3. Step 3: Cross multiply
    3,857.68x = 5,324.28 × 2,286.64
  4. Step 4: Simplify right side
    3,857.68x = 12,174,711.62
  5. Step 5: Solve for x
    x = 12,174,711.62/3,857.68
  6. Step 6: Final answer
    x = 3,155.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.