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Finding the Fourth Proportional to 3,944.72, 5,917.20 and 1,636.40

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Solution

The fourth proportional to 3,944.72, 5,917.20 and 1,636.40 is: 2,454.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944.72 : 5,917.20 = 1,636.40 : x
  2. Step 2: Convert to fraction form
    3,944.72/5,917.20 = 1,636.40/x
  3. Step 3: Cross multiply
    3,944.72x = 5,917.20 × 1,636.40
  4. Step 4: Simplify right side
    3,944.72x = 9,682,906.08
  5. Step 5: Solve for x
    x = 9,682,906.08/3,944.72
  6. Step 6: Final answer
    x = 2,454.65

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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.