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Finding the Fourth Proportional to 3,822.72, 5,275.50 and 2,144.50

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Solution

The fourth proportional to 3,822.72, 5,275.50 and 2,144.50 is: 2,959.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.72 : 5,275.50 = 2,144.50 : x
  2. Step 2: Convert to fraction form
    3,822.72/5,275.50 = 2,144.50/x
  3. Step 3: Cross multiply
    3,822.72x = 5,275.50 × 2,144.50
  4. Step 4: Simplify right side
    3,822.72x = 11,313,309.75
  5. Step 5: Solve for x
    x = 11,313,309.75/3,822.72
  6. Step 6: Final answer
    x = 2,959.49

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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.