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Finding the Fourth Proportional to 3,819.92, 5,729.81 and 1,046.66

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Solution

The fourth proportional to 3,819.92, 5,729.81 and 1,046.66 is: 1,569.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.92 : 5,729.81 = 1,046.66 : x
  2. Step 2: Convert to fraction form
    3,819.92/5,729.81 = 1,046.66/x
  3. Step 3: Cross multiply
    3,819.92x = 5,729.81 × 1,046.66
  4. Step 4: Simplify right side
    3,819.92x = 5,997,129.05
  5. Step 5: Solve for x
    x = 5,997,129.05/3,819.92
  6. Step 6: Final answer
    x = 1,569.96

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