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Finding the Fourth Proportional to 3,824.42, 5,735.21 and 2,264.76

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Solution

The fourth proportional to 3,824.42, 5,735.21 and 2,264.76 is: 3,396.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.42 : 5,735.21 = 2,264.76 : x
  2. Step 2: Convert to fraction form
    3,824.42/5,735.21 = 2,264.76/x
  3. Step 3: Cross multiply
    3,824.42x = 5,735.21 × 2,264.76
  4. Step 4: Simplify right side
    3,824.42x = 12,988,862.88
  5. Step 5: Solve for x
    x = 12,988,862.88/3,824.42
  6. Step 6: Final answer
    x = 3,396.30

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