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Finding the Fourth Proportional to 4,146.78, 5,716.59 and 2,965.80

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Solution

The fourth proportional to 4,146.78, 5,716.59 and 2,965.80 is: 4,088.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.78 : 5,716.59 = 2,965.80 : x
  2. Step 2: Convert to fraction form
    4,146.78/5,716.59 = 2,965.80/x
  3. Step 3: Cross multiply
    4,146.78x = 5,716.59 × 2,965.80
  4. Step 4: Simplify right side
    4,146.78x = 16,954,262.62
  5. Step 5: Solve for x
    x = 16,954,262.62/4,146.78
  6. Step 6: Final answer
    x = 4,088.54

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