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Finding the Fourth Proportional to 3,778.96, 5,215.20 and 2,286.92

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Solution

The fourth proportional to 3,778.96, 5,215.20 and 2,286.92 is: 3,156.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.96 : 5,215.20 = 2,286.92 : x
  2. Step 2: Convert to fraction form
    3,778.96/5,215.20 = 2,286.92/x
  3. Step 3: Cross multiply
    3,778.96x = 5,215.20 × 2,286.92
  4. Step 4: Simplify right side
    3,778.96x = 11,926,745.18
  5. Step 5: Solve for x
    x = 11,926,745.18/3,778.96
  6. Step 6: Final answer
    x = 3,156.09

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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.