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Finding the Fourth Proportional to 4,189.16, 5,772.82 and 3,786.44

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Solution

The fourth proportional to 4,189.16, 5,772.82 and 3,786.44 is: 5,217.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.16 : 5,772.82 = 3,786.44 : x
  2. Step 2: Convert to fraction form
    4,189.16/5,772.82 = 3,786.44/x
  3. Step 3: Cross multiply
    4,189.16x = 5,772.82 × 3,786.44
  4. Step 4: Simplify right side
    4,189.16x = 21,858,436.56
  5. Step 5: Solve for x
    x = 21,858,436.56/4,189.16
  6. Step 6: Final answer
    x = 5,217.86

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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.