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Finding the Fourth Proportional to 5,185.56, 7,770.78 and 2,584.92

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Solution

The fourth proportional to 5,185.56, 7,770.78 and 2,584.92 is: 3,873.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.56 : 7,770.78 = 2,584.92 : x
  2. Step 2: Convert to fraction form
    5,185.56/7,770.78 = 2,584.92/x
  3. Step 3: Cross multiply
    5,185.56x = 7,770.78 × 2,584.92
  4. Step 4: Simplify right side
    5,185.56x = 20,086,844.64
  5. Step 5: Solve for x
    x = 20,086,844.64/5,185.56
  6. Step 6: Final answer
    x = 3,873.61

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