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Finding the Fourth Proportional to 3,512.08, 5,260.80 and 1,664.80

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Solution

The fourth proportional to 3,512.08, 5,260.80 and 1,664.80 is: 2,493.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.08 : 5,260.80 = 1,664.80 : x
  2. Step 2: Convert to fraction form
    3,512.08/5,260.80 = 1,664.80/x
  3. Step 3: Cross multiply
    3,512.08x = 5,260.80 × 1,664.80
  4. Step 4: Simplify right side
    3,512.08x = 8,758,179.84
  5. Step 5: Solve for x
    x = 8,758,179.84/3,512.08
  6. Step 6: Final answer
    x = 2,493.73

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