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Finding the Fourth Proportional to 3,836.75, 5,294.98 and 2,158.32

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Solution

The fourth proportional to 3,836.75, 5,294.98 and 2,158.32 is: 2,978.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.75 : 5,294.98 = 2,158.32 : x
  2. Step 2: Convert to fraction form
    3,836.75/5,294.98 = 2,158.32/x
  3. Step 3: Cross multiply
    3,836.75x = 5,294.98 × 2,158.32
  4. Step 4: Simplify right side
    3,836.75x = 11,428,244.08
  5. Step 5: Solve for x
    x = 11,428,244.08/3,836.75
  6. Step 6: Final answer
    x = 2,978.63

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