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Finding the Fourth Proportional to 3,836.20, 5,746.20 and 3,188.20

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Solution

The fourth proportional to 3,836.20, 5,746.20 and 3,188.20 is: 4,775.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.20 : 5,746.20 = 3,188.20 : x
  2. Step 2: Convert to fraction form
    3,836.20/5,746.20 = 3,188.20/x
  3. Step 3: Cross multiply
    3,836.20x = 5,746.20 × 3,188.20
  4. Step 4: Simplify right side
    3,836.20x = 18,320,034.84
  5. Step 5: Solve for x
    x = 18,320,034.84/3,836.20
  6. Step 6: Final answer
    x = 4,775.57

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