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Finding the Fourth Proportional to 5,201.73, 7,791.29 and 3,227.84

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Solution

The fourth proportional to 5,201.73, 7,791.29 and 3,227.84 is: 4,834.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.73 : 7,791.29 = 3,227.84 : x
  2. Step 2: Convert to fraction form
    5,201.73/7,791.29 = 3,227.84/x
  3. Step 3: Cross multiply
    5,201.73x = 7,791.29 × 3,227.84
  4. Step 4: Simplify right side
    5,201.73x = 25,149,037.51
  5. Step 5: Solve for x
    x = 25,149,037.51/5,201.73
  6. Step 6: Final answer
    x = 4,834.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.