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Finding the Fourth Proportional to 3,471.44, 5,204.60 and 1,280.20

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Solution

The fourth proportional to 3,471.44, 5,204.60 and 1,280.20 is: 1,919.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.44 : 5,204.60 = 1,280.20 : x
  2. Step 2: Convert to fraction form
    3,471.44/5,204.60 = 1,280.20/x
  3. Step 3: Cross multiply
    3,471.44x = 5,204.60 × 1,280.20
  4. Step 4: Simplify right side
    3,471.44x = 6,662,928.92
  5. Step 5: Solve for x
    x = 6,662,928.92/3,471.44
  6. Step 6: Final answer
    x = 1,919.36

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