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Finding the Fourth Proportional to 4,286.52, 5,914.62 and 4,067.82

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Solution

The fourth proportional to 4,286.52, 5,914.62 and 4,067.82 is: 5,612.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.52 : 5,914.62 = 4,067.82 : x
  2. Step 2: Convert to fraction form
    4,286.52/5,914.62 = 4,067.82/x
  3. Step 3: Cross multiply
    4,286.52x = 5,914.62 × 4,067.82
  4. Step 4: Simplify right side
    4,286.52x = 24,059,609.53
  5. Step 5: Solve for x
    x = 24,059,609.53/4,286.52
  6. Step 6: Final answer
    x = 5,612.85

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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.