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Finding the Fourth Proportional to 5,204.82, 7,805.79 and 2,084.34

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Solution

The fourth proportional to 5,204.82, 7,805.79 and 2,084.34 is: 3,125.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.82 : 7,805.79 = 2,084.34 : x
  2. Step 2: Convert to fraction form
    5,204.82/7,805.79 = 2,084.34/x
  3. Step 3: Cross multiply
    5,204.82x = 7,805.79 × 2,084.34
  4. Step 4: Simplify right side
    5,204.82x = 16,269,920.33
  5. Step 5: Solve for x
    x = 16,269,920.33/5,204.82
  6. Step 6: Final answer
    x = 3,125.93

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