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Finding the Fourth Proportional to 5,633.87, 8,458.10 and 3,694.73

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Solution

The fourth proportional to 5,633.87, 8,458.10 and 3,694.73 is: 5,546.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.87 : 8,458.10 = 3,694.73 : x
  2. Step 2: Convert to fraction form
    5,633.87/8,458.10 = 3,694.73/x
  3. Step 3: Cross multiply
    5,633.87x = 8,458.10 × 3,694.73
  4. Step 4: Simplify right side
    5,633.87x = 31,250,335.05
  5. Step 5: Solve for x
    x = 31,250,335.05/5,633.87
  6. Step 6: Final answer
    x = 5,546.87

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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.