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Finding the Fourth Proportional to 3,914.82, 5,872.23 and 1,965.96

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Solution

The fourth proportional to 3,914.82, 5,872.23 and 1,965.96 is: 2,948.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.82 : 5,872.23 = 1,965.96 : x
  2. Step 2: Convert to fraction form
    3,914.82/5,872.23 = 1,965.96/x
  3. Step 3: Cross multiply
    3,914.82x = 5,872.23 × 1,965.96
  4. Step 4: Simplify right side
    3,914.82x = 11,544,569.29
  5. Step 5: Solve for x
    x = 11,544,569.29/3,914.82
  6. Step 6: Final answer
    x = 2,948.94

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