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Finding the Fourth Proportional to 3,286.70, 4,942.20 and 2,752.10

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Solution

The fourth proportional to 3,286.70, 4,942.20 and 2,752.10 is: 4,138.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.70 : 4,942.20 = 2,752.10 : x
  2. Step 2: Convert to fraction form
    3,286.70/4,942.20 = 2,752.10/x
  3. Step 3: Cross multiply
    3,286.70x = 4,942.20 × 2,752.10
  4. Step 4: Simplify right side
    3,286.70x = 13,601,428.62
  5. Step 5: Solve for x
    x = 13,601,428.62/3,286.70
  6. Step 6: Final answer
    x = 4,138.32

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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.