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Finding the Fourth Proportional to 3,822.93, 5,284.50 and 3,189.78

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Solution

The fourth proportional to 3,822.93, 5,284.50 and 3,189.78 is: 4,409.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.93 : 5,284.50 = 3,189.78 : x
  2. Step 2: Convert to fraction form
    3,822.93/5,284.50 = 3,189.78/x
  3. Step 3: Cross multiply
    3,822.93x = 5,284.50 × 3,189.78
  4. Step 4: Simplify right side
    3,822.93x = 16,856,392.41
  5. Step 5: Solve for x
    x = 16,856,392.41/3,822.93
  6. Step 6: Final answer
    x = 4,409.29

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