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Finding the Fourth Proportional to 3,471.75, 5,205.60 and 1,827.90

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Solution

The fourth proportional to 3,471.75, 5,205.60 and 1,827.90 is: 2,740.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.75 : 5,205.60 = 1,827.90 : x
  2. Step 2: Convert to fraction form
    3,471.75/5,205.60 = 1,827.90/x
  3. Step 3: Cross multiply
    3,471.75x = 5,205.60 × 1,827.90
  4. Step 4: Simplify right side
    3,471.75x = 9,515,316.24
  5. Step 5: Solve for x
    x = 9,515,316.24/3,471.75
  6. Step 6: Final answer
    x = 2,740.78

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