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Finding the Fourth Proportional to 3,884.42, 5,815.64 and 3,578.24

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Solution

The fourth proportional to 3,884.42, 5,815.64 and 3,578.24 is: 5,357.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.42 : 5,815.64 = 3,578.24 : x
  2. Step 2: Convert to fraction form
    3,884.42/5,815.64 = 3,578.24/x
  3. Step 3: Cross multiply
    3,884.42x = 5,815.64 × 3,578.24
  4. Step 4: Simplify right side
    3,884.42x = 20,809,755.67
  5. Step 5: Solve for x
    x = 20,809,755.67/3,884.42
  6. Step 6: Final answer
    x = 5,357.24

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