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Finding the Fourth Proportional to 5,204.00, 7,805.81 and 2,282.33

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Solution

The fourth proportional to 5,204.00, 7,805.81 and 2,282.33 is: 3,423.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.00 : 7,805.81 = 2,282.33 : x
  2. Step 2: Convert to fraction form
    5,204.00/7,805.81 = 2,282.33/x
  3. Step 3: Cross multiply
    5,204.00x = 7,805.81 × 2,282.33
  4. Step 4: Simplify right side
    5,204.00x = 17,815,383.90
  5. Step 5: Solve for x
    x = 17,815,383.90/5,204.00
  6. Step 6: Final answer
    x = 3,423.41

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