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Finding the Fourth Proportional to 3,944.68, 5,913.72 and 1,863.64

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Solution

The fourth proportional to 3,944.68, 5,913.72 and 1,863.64 is: 2,793.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944.68 : 5,913.72 = 1,863.64 : x
  2. Step 2: Convert to fraction form
    3,944.68/5,913.72 = 1,863.64/x
  3. Step 3: Cross multiply
    3,944.68x = 5,913.72 × 1,863.64
  4. Step 4: Simplify right side
    3,944.68x = 11,021,045.14
  5. Step 5: Solve for x
    x = 11,021,045.14/3,944.68
  6. Step 6: Final answer
    x = 2,793.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.