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Finding the Fourth Proportional to 3,835.92, 5,764.82 and 1,889.48

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Solution

The fourth proportional to 3,835.92, 5,764.82 and 1,889.48 is: 2,839.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.92 : 5,764.82 = 1,889.48 : x
  2. Step 2: Convert to fraction form
    3,835.92/5,764.82 = 1,889.48/x
  3. Step 3: Cross multiply
    3,835.92x = 5,764.82 × 1,889.48
  4. Step 4: Simplify right side
    3,835.92x = 10,892,512.09
  5. Step 5: Solve for x
    x = 10,892,512.09/3,835.92
  6. Step 6: Final answer
    x = 2,839.61

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