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Finding the Fourth Proportional to 3,944.72, 5,913.76 and 1,863.52

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Solution

The fourth proportional to 3,944.72, 5,913.76 and 1,863.52 is: 2,793.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944.72 : 5,913.76 = 1,863.52 : x
  2. Step 2: Convert to fraction form
    3,944.72/5,913.76 = 1,863.52/x
  3. Step 3: Cross multiply
    3,944.72x = 5,913.76 × 1,863.52
  4. Step 4: Simplify right side
    3,944.72x = 11,020,410.04
  5. Step 5: Solve for x
    x = 11,020,410.04/3,944.72
  6. Step 6: Final answer
    x = 2,793.71

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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.