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Finding the Fourth Proportional to 3,694.14, 5,546.67 and 3,515.73

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Solution

The fourth proportional to 3,694.14, 5,546.67 and 3,515.73 is: 5,278.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.14 : 5,546.67 = 3,515.73 : x
  2. Step 2: Convert to fraction form
    3,694.14/5,546.67 = 3,515.73/x
  3. Step 3: Cross multiply
    3,694.14x = 5,546.67 × 3,515.73
  4. Step 4: Simplify right side
    3,694.14x = 19,500,594.12
  5. Step 5: Solve for x
    x = 19,500,594.12/3,694.14
  6. Step 6: Final answer
    x = 5,278.79

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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.