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Finding the Fourth Proportional to 3,434.74, 5,149.41 and 1,584.70

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Solution

The fourth proportional to 3,434.74, 5,149.41 and 1,584.70 is: 2,375.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.74 : 5,149.41 = 1,584.70 : x
  2. Step 2: Convert to fraction form
    3,434.74/5,149.41 = 1,584.70/x
  3. Step 3: Cross multiply
    3,434.74x = 5,149.41 × 1,584.70
  4. Step 4: Simplify right side
    3,434.74x = 8,160,270.03
  5. Step 5: Solve for x
    x = 8,160,270.03/3,434.74
  6. Step 6: Final answer
    x = 2,375.80

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