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Finding the Fourth Proportional to 3,962.26, 5,945.76 and 1,589.92

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Solution

The fourth proportional to 3,962.26, 5,945.76 and 1,589.92 is: 2,385.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.26 : 5,945.76 = 1,589.92 : x
  2. Step 2: Convert to fraction form
    3,962.26/5,945.76 = 1,589.92/x
  3. Step 3: Cross multiply
    3,962.26x = 5,945.76 × 1,589.92
  4. Step 4: Simplify right side
    3,962.26x = 9,453,282.74
  5. Step 5: Solve for x
    x = 9,453,282.74/3,962.26
  6. Step 6: Final answer
    x = 2,385.83

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