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Finding the Fourth Proportional to 3,286.67, 4,906.59 and 3,171.34

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Solution

The fourth proportional to 3,286.67, 4,906.59 and 3,171.34 is: 4,734.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.67 : 4,906.59 = 3,171.34 : x
  2. Step 2: Convert to fraction form
    3,286.67/4,906.59 = 3,171.34/x
  3. Step 3: Cross multiply
    3,286.67x = 4,906.59 × 3,171.34
  4. Step 4: Simplify right side
    3,286.67x = 15,560,449.61
  5. Step 5: Solve for x
    x = 15,560,449.61/3,286.67
  6. Step 6: Final answer
    x = 4,734.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.