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Finding the Fourth Proportional to 3,827.87, 5,282.22 and 2,149.27

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Solution

The fourth proportional to 3,827.87, 5,282.22 and 2,149.27 is: 2,965.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.87 : 5,282.22 = 2,149.27 : x
  2. Step 2: Convert to fraction form
    3,827.87/5,282.22 = 2,149.27/x
  3. Step 3: Cross multiply
    3,827.87x = 5,282.22 × 2,149.27
  4. Step 4: Simplify right side
    3,827.87x = 11,352,916.98
  5. Step 5: Solve for x
    x = 11,352,916.98/3,827.87
  6. Step 6: Final answer
    x = 2,965.86

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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.