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Finding the Fourth Proportional to 5,155.97, 7,733.57 and 1,645.83

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Solution

The fourth proportional to 5,155.97, 7,733.57 and 1,645.83 is: 2,468.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.97 : 7,733.57 = 1,645.83 : x
  2. Step 2: Convert to fraction form
    5,155.97/7,733.57 = 1,645.83/x
  3. Step 3: Cross multiply
    5,155.97x = 7,733.57 × 1,645.83
  4. Step 4: Simplify right side
    5,155.97x = 12,728,133.28
  5. Step 5: Solve for x
    x = 12,728,133.28/5,155.97
  6. Step 6: Final answer
    x = 2,468.62

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