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Finding the Fourth Proportional to 3,799.80, 5,698.77 and 1,824.21

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Solution

The fourth proportional to 3,799.80, 5,698.77 and 1,824.21 is: 2,735.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799.80 : 5,698.77 = 1,824.21 : x
  2. Step 2: Convert to fraction form
    3,799.80/5,698.77 = 1,824.21/x
  3. Step 3: Cross multiply
    3,799.80x = 5,698.77 × 1,824.21
  4. Step 4: Simplify right side
    3,799.80x = 10,395,753.22
  5. Step 5: Solve for x
    x = 10,395,753.22/3,799.80
  6. Step 6: Final answer
    x = 2,735.87

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