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Finding the Fourth Proportional to 3,978.10, 5,489.67 and 2,209.60

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Solution

The fourth proportional to 3,978.10, 5,489.67 and 2,209.60 is: 3,049.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.10 : 5,489.67 = 2,209.60 : x
  2. Step 2: Convert to fraction form
    3,978.10/5,489.67 = 2,209.60/x
  3. Step 3: Cross multiply
    3,978.10x = 5,489.67 × 2,209.60
  4. Step 4: Simplify right side
    3,978.10x = 12,129,974.83
  5. Step 5: Solve for x
    x = 12,129,974.83/3,978.10
  6. Step 6: Final answer
    x = 3,049.19

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