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Finding the Fourth Proportional to 5,745.46, 7,928.18 and 3,227

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Solution

The fourth proportional to 5,745.46, 7,928.18 and 3,227 is: 4,452.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.46 : 7,928.18 = 3,227 : x
  2. Step 2: Convert to fraction form
    5,745.46/7,928.18 = 3,227/x
  3. Step 3: Cross multiply
    5,745.46x = 7,928.18 × 3,227
  4. Step 4: Simplify right side
    5,745.46x = 25,584,220.73
  5. Step 5: Solve for x
    x = 25,584,220.73/5,745.46
  6. Step 6: Final answer
    x = 4,452.95

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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.