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Finding the Fourth Proportional to 3,822.87, 5,275.49 and 2,144.28

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Solution

The fourth proportional to 3,822.87, 5,275.49 and 2,144.28 is: 2,959.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.87 : 5,275.49 = 2,144.28 : x
  2. Step 2: Convert to fraction form
    3,822.87/5,275.49 = 2,144.28/x
  3. Step 3: Cross multiply
    3,822.87x = 5,275.49 × 2,144.28
  4. Step 4: Simplify right side
    3,822.87x = 11,312,127.70
  5. Step 5: Solve for x
    x = 11,312,127.70/3,822.87
  6. Step 6: Final answer
    x = 2,959.07

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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.