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Finding the Fourth Proportional to 3,826.80, 5,742.60 and 3,647.04

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Solution

The fourth proportional to 3,826.80, 5,742.60 and 3,647.04 is: 5,472.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.80 : 5,742.60 = 3,647.04 : x
  2. Step 2: Convert to fraction form
    3,826.80/5,742.60 = 3,647.04/x
  3. Step 3: Cross multiply
    3,826.80x = 5,742.60 × 3,647.04
  4. Step 4: Simplify right side
    3,826.80x = 20,943,491.90
  5. Step 5: Solve for x
    x = 20,943,491.90/3,826.80
  6. Step 6: Final answer
    x = 5,472.85

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