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Finding the Fourth Proportional to 3,824.52, 5,738.46 and 1,633.80

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Solution

The fourth proportional to 3,824.52, 5,738.46 and 1,633.80 is: 2,451.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.52 : 5,738.46 = 1,633.80 : x
  2. Step 2: Convert to fraction form
    3,824.52/5,738.46 = 1,633.80/x
  3. Step 3: Cross multiply
    3,824.52x = 5,738.46 × 1,633.80
  4. Step 4: Simplify right side
    3,824.52x = 9,375,495.95
  5. Step 5: Solve for x
    x = 9,375,495.95/3,824.52
  6. Step 6: Final answer
    x = 2,451.42

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