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Finding the Fourth Proportional to 3,400.67, 5,096.13 and 1,936.80

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Solution

The fourth proportional to 3,400.67, 5,096.13 and 1,936.80 is: 2,902.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.67 : 5,096.13 = 1,936.80 : x
  2. Step 2: Convert to fraction form
    3,400.67/5,096.13 = 1,936.80/x
  3. Step 3: Cross multiply
    3,400.67x = 5,096.13 × 1,936.80
  4. Step 4: Simplify right side
    3,400.67x = 9,870,184.58
  5. Step 5: Solve for x
    x = 9,870,184.58/3,400.67
  6. Step 6: Final answer
    x = 2,902.42

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