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Finding the Fourth Proportional to 3,147.78, 4,715.83 and 1,584.02

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Solution

The fourth proportional to 3,147.78, 4,715.83 and 1,584.02 is: 2,373.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.78 : 4,715.83 = 1,584.02 : x
  2. Step 2: Convert to fraction form
    3,147.78/4,715.83 = 1,584.02/x
  3. Step 3: Cross multiply
    3,147.78x = 4,715.83 × 1,584.02
  4. Step 4: Simplify right side
    3,147.78x = 7,469,965.14
  5. Step 5: Solve for x
    x = 7,469,965.14/3,147.78
  6. Step 6: Final answer
    x = 2,373.09

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