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Finding the Fourth Proportional to 3,829.82, 5,739.39 and 2,165.30

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Solution

The fourth proportional to 3,829.82, 5,739.39 and 2,165.30 is: 3,244.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.82 : 5,739.39 = 2,165.30 : x
  2. Step 2: Convert to fraction form
    3,829.82/5,739.39 = 2,165.30/x
  3. Step 3: Cross multiply
    3,829.82x = 5,739.39 × 2,165.30
  4. Step 4: Simplify right side
    3,829.82x = 12,427,501.17
  5. Step 5: Solve for x
    x = 12,427,501.17/3,829.82
  6. Step 6: Final answer
    x = 3,244.93

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