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Finding the Fourth Proportional to 3,944.49, 5,917.34 and 1,755.06

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Solution

The fourth proportional to 3,944.49, 5,917.34 and 1,755.06 is: 2,632.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944.49 : 5,917.34 = 1,755.06 : x
  2. Step 2: Convert to fraction form
    3,944.49/5,917.34 = 1,755.06/x
  3. Step 3: Cross multiply
    3,944.49x = 5,917.34 × 1,755.06
  4. Step 4: Simplify right side
    3,944.49x = 10,385,286.74
  5. Step 5: Solve for x
    x = 10,385,286.74/3,944.49
  6. Step 6: Final answer
    x = 2,632.86

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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.