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Finding the Fourth Proportional to 3,944.97, 5,914.77 and 1,968.09

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Solution

The fourth proportional to 3,944.97, 5,914.77 and 1,968.09 is: 2,950.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944.97 : 5,914.77 = 1,968.09 : x
  2. Step 2: Convert to fraction form
    3,944.97/5,914.77 = 1,968.09/x
  3. Step 3: Cross multiply
    3,944.97x = 5,914.77 × 1,968.09
  4. Step 4: Simplify right side
    3,944.97x = 11,640,799.69
  5. Step 5: Solve for x
    x = 11,640,799.69/3,944.97
  6. Step 6: Final answer
    x = 2,950.80

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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.