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Finding the Fourth Proportional to 3,822.84, 5,729.58 and 2,180.16

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Solution

The fourth proportional to 3,822.84, 5,729.58 and 2,180.16 is: 3,267.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.84 : 5,729.58 = 2,180.16 : x
  2. Step 2: Convert to fraction form
    3,822.84/5,729.58 = 2,180.16/x
  3. Step 3: Cross multiply
    3,822.84x = 5,729.58 × 2,180.16
  4. Step 4: Simplify right side
    3,822.84x = 12,491,401.13
  5. Step 5: Solve for x
    x = 12,491,401.13/3,822.84
  6. Step 6: Final answer
    x = 3,267.57

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