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Finding the Fourth Proportional to 3,778.46, 5,214.52 and 2,286.44

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Solution

The fourth proportional to 3,778.46, 5,214.52 and 2,286.44 is: 3,155.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.46 : 5,214.52 = 2,286.44 : x
  2. Step 2: Convert to fraction form
    3,778.46/5,214.52 = 2,286.44/x
  3. Step 3: Cross multiply
    3,778.46x = 5,214.52 × 2,286.44
  4. Step 4: Simplify right side
    3,778.46x = 11,922,687.11
  5. Step 5: Solve for x
    x = 11,922,687.11/3,778.46
  6. Step 6: Final answer
    x = 3,155.44

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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.