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Finding the Fourth Proportional to 3,471.94, 5,209.26 and 1,829.80

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Solution

The fourth proportional to 3,471.94, 5,209.26 and 1,829.80 is: 2,745.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.94 : 5,209.26 = 1,829.80 : x
  2. Step 2: Convert to fraction form
    3,471.94/5,209.26 = 1,829.80/x
  3. Step 3: Cross multiply
    3,471.94x = 5,209.26 × 1,829.80
  4. Step 4: Simplify right side
    3,471.94x = 9,531,903.95
  5. Step 5: Solve for x
    x = 9,531,903.95/3,471.94
  6. Step 6: Final answer
    x = 2,745.41

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