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Finding the Fourth Proportional to 3,286.70, 4,367.85 and 3,286.70

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Solution

The fourth proportional to 3,286.70, 4,367.85 and 3,286.70 is: 4,367.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.70 : 4,367.85 = 3,286.70 : x
  2. Step 2: Convert to fraction form
    3,286.70/4,367.85 = 3,286.70/x
  3. Step 3: Cross multiply
    3,286.70x = 4,367.85 × 3,286.70
  4. Step 4: Simplify right side
    3,286.70x = 14,355,812.60
  5. Step 5: Solve for x
    x = 14,355,812.60/3,286.70
  6. Step 6: Final answer
    x = 4,367.85

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.