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Finding the Fourth Proportional to 4,172.82, 6,274.24 and 3,847.73

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Solution

The fourth proportional to 4,172.82, 6,274.24 and 3,847.73 is: 5,785.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.82 : 6,274.24 = 3,847.73 : x
  2. Step 2: Convert to fraction form
    4,172.82/6,274.24 = 3,847.73/x
  3. Step 3: Cross multiply
    4,172.82x = 6,274.24 × 3,847.73
  4. Step 4: Simplify right side
    4,172.82x = 24,141,587.54
  5. Step 5: Solve for x
    x = 24,141,587.54/4,172.82
  6. Step 6: Final answer
    x = 5,785.44

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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.