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Finding the Fourth Proportional to 3,224.73, 4,448.24 and 2,027.82

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Solution

The fourth proportional to 3,224.73, 4,448.24 and 2,027.82 is: 2,797.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.73 : 4,448.24 = 2,027.82 : x
  2. Step 2: Convert to fraction form
    3,224.73/4,448.24 = 2,027.82/x
  3. Step 3: Cross multiply
    3,224.73x = 4,448.24 × 2,027.82
  4. Step 4: Simplify right side
    3,224.73x = 9,020,219.90
  5. Step 5: Solve for x
    x = 9,020,219.90/3,224.73
  6. Step 6: Final answer
    x = 2,797.20

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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.