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Finding the Fourth Proportional to 3,896.16, 5,845.23 and 1,524.27

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Solution

The fourth proportional to 3,896.16, 5,845.23 and 1,524.27 is: 2,286.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.16 : 5,845.23 = 1,524.27 : x
  2. Step 2: Convert to fraction form
    3,896.16/5,845.23 = 1,524.27/x
  3. Step 3: Cross multiply
    3,896.16x = 5,845.23 × 1,524.27
  4. Step 4: Simplify right side
    3,896.16x = 8,909,708.73
  5. Step 5: Solve for x
    x = 8,909,708.73/3,896.16
  6. Step 6: Final answer
    x = 2,286.79

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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.