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Finding the Fourth Proportional to 3,400.80, 5,102.40 and 3,280.80

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Solution

The fourth proportional to 3,400.80, 5,102.40 and 3,280.80 is: 4,922.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.80 : 5,102.40 = 3,280.80 : x
  2. Step 2: Convert to fraction form
    3,400.80/5,102.40 = 3,280.80/x
  3. Step 3: Cross multiply
    3,400.80x = 5,102.40 × 3,280.80
  4. Step 4: Simplify right side
    3,400.80x = 16,739,953.92
  5. Step 5: Solve for x
    x = 16,739,953.92/3,400.80
  6. Step 6: Final answer
    x = 4,922.36

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