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Finding the Fourth Proportional to 3,937.24, 5,906.20 and 1,015.56

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Solution

The fourth proportional to 3,937.24, 5,906.20 and 1,015.56 is: 1,523.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.24 : 5,906.20 = 1,015.56 : x
  2. Step 2: Convert to fraction form
    3,937.24/5,906.20 = 1,015.56/x
  3. Step 3: Cross multiply
    3,937.24x = 5,906.20 × 1,015.56
  4. Step 4: Simplify right side
    3,937.24x = 5,998,100.47
  5. Step 5: Solve for x
    x = 5,998,100.47/3,937.24
  6. Step 6: Final answer
    x = 1,523.43

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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.