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Finding the Fourth Proportional to 5,194.12, 7,786.82 and 2,270.20

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Solution

The fourth proportional to 5,194.12, 7,786.82 and 2,270.20 is: 3,403.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.12 : 7,786.82 = 2,270.20 : x
  2. Step 2: Convert to fraction form
    5,194.12/7,786.82 = 2,270.20/x
  3. Step 3: Cross multiply
    5,194.12x = 7,786.82 × 2,270.20
  4. Step 4: Simplify right side
    5,194.12x = 17,677,638.76
  5. Step 5: Solve for x
    x = 17,677,638.76/5,194.12
  6. Step 6: Final answer
    x = 3,403.39

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