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Finding the Fourth Proportional to 4,906.61, 6,770.97 and 2,782.33

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Solution

The fourth proportional to 4,906.61, 6,770.97 and 2,782.33 is: 3,839.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.61 : 6,770.97 = 2,782.33 : x
  2. Step 2: Convert to fraction form
    4,906.61/6,770.97 = 2,782.33/x
  3. Step 3: Cross multiply
    4,906.61x = 6,770.97 × 2,782.33
  4. Step 4: Simplify right side
    4,906.61x = 18,839,072.96
  5. Step 5: Solve for x
    x = 18,839,072.96/4,906.61
  6. Step 6: Final answer
    x = 3,839.53

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