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Finding the Fourth Proportional to 4,704.78, 7,057.52 and 1,584.80

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Solution

The fourth proportional to 4,704.78, 7,057.52 and 1,584.80 is: 2,377.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.78 : 7,057.52 = 1,584.80 : x
  2. Step 2: Convert to fraction form
    4,704.78/7,057.52 = 1,584.80/x
  3. Step 3: Cross multiply
    4,704.78x = 7,057.52 × 1,584.80
  4. Step 4: Simplify right side
    4,704.78x = 11,184,757.70
  5. Step 5: Solve for x
    x = 11,184,757.70/4,704.78
  6. Step 6: Final answer
    x = 2,377.32

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