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Finding the Fourth Proportional to 3,825.82, 5,734.63 and 1,359.83

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Solution

The fourth proportional to 3,825.82, 5,734.63 and 1,359.83 is: 2,038.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.82 : 5,734.63 = 1,359.83 : x
  2. Step 2: Convert to fraction form
    3,825.82/5,734.63 = 1,359.83/x
  3. Step 3: Cross multiply
    3,825.82x = 5,734.63 × 1,359.83
  4. Step 4: Simplify right side
    3,825.82x = 7,798,121.91
  5. Step 5: Solve for x
    x = 7,798,121.91/3,825.82
  6. Step 6: Final answer
    x = 2,038.29

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