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Finding the Fourth Proportional to 3,877.60, 5,822.88 and 2,149.60

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Solution

The fourth proportional to 3,877.60, 5,822.88 and 2,149.60 is: 3,227.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.60 : 5,822.88 = 2,149.60 : x
  2. Step 2: Convert to fraction form
    3,877.60/5,822.88 = 2,149.60/x
  3. Step 3: Cross multiply
    3,877.60x = 5,822.88 × 2,149.60
  4. Step 4: Simplify right side
    3,877.60x = 12,516,862.85
  5. Step 5: Solve for x
    x = 12,516,862.85/3,877.60
  6. Step 6: Final answer
    x = 3,227.99

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