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Finding the Fourth Proportional to 3,978.18, 5,489.64 and 2,209.75

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Solution

The fourth proportional to 3,978.18, 5,489.64 and 2,209.75 is: 3,049.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.18 : 5,489.64 = 2,209.75 : x
  2. Step 2: Convert to fraction form
    3,978.18/5,489.64 = 2,209.75/x
  3. Step 3: Cross multiply
    3,978.18x = 5,489.64 × 2,209.75
  4. Step 4: Simplify right side
    3,978.18x = 12,130,718.27
  5. Step 5: Solve for x
    x = 12,130,718.27/3,978.18
  6. Step 6: Final answer
    x = 3,049.31

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