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Finding the Fourth Proportional to 3,836.69, 5,755.10 and 1,204.14

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Solution

The fourth proportional to 3,836.69, 5,755.10 and 1,204.14 is: 1,806.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.69 : 5,755.10 = 1,204.14 : x
  2. Step 2: Convert to fraction form
    3,836.69/5,755.10 = 1,204.14/x
  3. Step 3: Cross multiply
    3,836.69x = 5,755.10 × 1,204.14
  4. Step 4: Simplify right side
    3,836.69x = 6,929,940.09
  5. Step 5: Solve for x
    x = 6,929,940.09/3,836.69
  6. Step 6: Final answer
    x = 1,806.23

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