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Finding the Fourth Proportional to 3,835.96, 5,755.38 and 1,645.24

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Solution

The fourth proportional to 3,835.96, 5,755.38 and 1,645.24 is: 2,468.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.96 : 5,755.38 = 1,645.24 : x
  2. Step 2: Convert to fraction form
    3,835.96/5,755.38 = 1,645.24/x
  3. Step 3: Cross multiply
    3,835.96x = 5,755.38 × 1,645.24
  4. Step 4: Simplify right side
    3,835.96x = 9,468,981.39
  5. Step 5: Solve for x
    x = 9,468,981.39/3,835.96
  6. Step 6: Final answer
    x = 2,468.48

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