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Finding the Fourth Proportional to 5,376.27, 8,067.52 and 2,256

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Solution

The fourth proportional to 5,376.27, 8,067.52 and 2,256 is: 3,385.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,376.27 : 8,067.52 = 2,256 : x
  2. Step 2: Convert to fraction form
    5,376.27/8,067.52 = 2,256/x
  3. Step 3: Cross multiply
    5,376.27x = 8,067.52 × 2,256
  4. Step 4: Simplify right side
    5,376.27x = 18,200,325.12
  5. Step 5: Solve for x
    x = 18,200,325.12/5,376.27
  6. Step 6: Final answer
    x = 3,385.31

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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.