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Finding the Fourth Proportional to 3,817.78, 5,727.85 and 1,149.46

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Solution

The fourth proportional to 3,817.78, 5,727.85 and 1,149.46 is: 1,724.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.78 : 5,727.85 = 1,149.46 : x
  2. Step 2: Convert to fraction form
    3,817.78/5,727.85 = 1,149.46/x
  3. Step 3: Cross multiply
    3,817.78x = 5,727.85 × 1,149.46
  4. Step 4: Simplify right side
    3,817.78x = 6,583,917.27
  5. Step 5: Solve for x
    x = 6,583,917.27/3,817.78
  6. Step 6: Final answer
    x = 1,724.54

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