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Finding the Fourth Proportional to 3,978.16, 5,489.70 and 2,209.80

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Solution

The fourth proportional to 3,978.16, 5,489.70 and 2,209.80 is: 3,049.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.16 : 5,489.70 = 2,209.80 : x
  2. Step 2: Convert to fraction form
    3,978.16/5,489.70 = 2,209.80/x
  3. Step 3: Cross multiply
    3,978.16x = 5,489.70 × 2,209.80
  4. Step 4: Simplify right side
    3,978.16x = 12,131,139.06
  5. Step 5: Solve for x
    x = 12,131,139.06/3,978.16
  6. Step 6: Final answer
    x = 3,049.43

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