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Finding the Fourth Proportional to 3,857.54, 5,786.54 and 1,084.43

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Solution

The fourth proportional to 3,857.54, 5,786.54 and 1,084.43 is: 1,626.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.54 : 5,786.54 = 1,084.43 : x
  2. Step 2: Convert to fraction form
    3,857.54/5,786.54 = 1,084.43/x
  3. Step 3: Cross multiply
    3,857.54x = 5,786.54 × 1,084.43
  4. Step 4: Simplify right side
    3,857.54x = 6,275,097.57
  5. Step 5: Solve for x
    x = 6,275,097.57/3,857.54
  6. Step 6: Final answer
    x = 1,626.71

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