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Finding the Fourth Proportional to 4,121.68, 5,697.27 and 3,794.73

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Solution

The fourth proportional to 4,121.68, 5,697.27 and 3,794.73 is: 5,245.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121.68 : 5,697.27 = 3,794.73 : x
  2. Step 2: Convert to fraction form
    4,121.68/5,697.27 = 3,794.73/x
  3. Step 3: Cross multiply
    4,121.68x = 5,697.27 × 3,794.73
  4. Step 4: Simplify right side
    4,121.68x = 21,619,601.39
  5. Step 5: Solve for x
    x = 21,619,601.39/4,121.68
  6. Step 6: Final answer
    x = 5,245.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.