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Finding the Fourth Proportional to 3,694.57, 5,546.18 and 2,311.09

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Solution

The fourth proportional to 3,694.57, 5,546.18 and 2,311.09 is: 3,469.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.57 : 5,546.18 = 2,311.09 : x
  2. Step 2: Convert to fraction form
    3,694.57/5,546.18 = 2,311.09/x
  3. Step 3: Cross multiply
    3,694.57x = 5,546.18 × 2,311.09
  4. Step 4: Simplify right side
    3,694.57x = 12,817,709.58
  5. Step 5: Solve for x
    x = 12,817,709.58/3,694.57
  6. Step 6: Final answer
    x = 3,469.34

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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.