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Finding the Fourth Proportional to 3,836.55, 5,747.74 and 2,188.20

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Solution

The fourth proportional to 3,836.55, 5,747.74 and 2,188.20 is: 3,278.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.55 : 5,747.74 = 2,188.20 : x
  2. Step 2: Convert to fraction form
    3,836.55/5,747.74 = 2,188.20/x
  3. Step 3: Cross multiply
    3,836.55x = 5,747.74 × 2,188.20
  4. Step 4: Simplify right side
    3,836.55x = 12,577,199.20
  5. Step 5: Solve for x
    x = 12,577,199.20/3,836.55
  6. Step 6: Final answer
    x = 3,278.26

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