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Finding the Fourth Proportional to 3,922.88, 5,884.31 and 1,583.91

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Solution

The fourth proportional to 3,922.88, 5,884.31 and 1,583.91 is: 2,375.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.88 : 5,884.31 = 1,583.91 : x
  2. Step 2: Convert to fraction form
    3,922.88/5,884.31 = 1,583.91/x
  3. Step 3: Cross multiply
    3,922.88x = 5,884.31 × 1,583.91
  4. Step 4: Simplify right side
    3,922.88x = 9,320,221.41
  5. Step 5: Solve for x
    x = 9,320,221.41/3,922.88
  6. Step 6: Final answer
    x = 2,375.87

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