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Finding the Fourth Proportional to 3,917.40, 5,876.12 and 1,578.48

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Solution

The fourth proportional to 3,917.40, 5,876.12 and 1,578.48 is: 2,367.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.40 : 5,876.12 = 1,578.48 : x
  2. Step 2: Convert to fraction form
    3,917.40/5,876.12 = 1,578.48/x
  3. Step 3: Cross multiply
    3,917.40x = 5,876.12 × 1,578.48
  4. Step 4: Simplify right side
    3,917.40x = 9,275,337.90
  5. Step 5: Solve for x
    x = 9,275,337.90/3,917.40
  6. Step 6: Final answer
    x = 2,367.73

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