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Finding the Fourth Proportional to 3,822.87, 5,275.32 and 2,144.27

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Solution

The fourth proportional to 3,822.87, 5,275.32 and 2,144.27 is: 2,958.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.87 : 5,275.32 = 2,144.27 : x
  2. Step 2: Convert to fraction form
    3,822.87/5,275.32 = 2,144.27/x
  3. Step 3: Cross multiply
    3,822.87x = 5,275.32 × 2,144.27
  4. Step 4: Simplify right side
    3,822.87x = 11,311,684.04
  5. Step 5: Solve for x
    x = 11,311,684.04/3,822.87
  6. Step 6: Final answer
    x = 2,958.95

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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.