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Finding the Fourth Proportional to 5,206.78, 7,812.29 and 2,743.77

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Solution

The fourth proportional to 5,206.78, 7,812.29 and 2,743.77 is: 4,116.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.78 : 7,812.29 = 2,743.77 : x
  2. Step 2: Convert to fraction form
    5,206.78/7,812.29 = 2,743.77/x
  3. Step 3: Cross multiply
    5,206.78x = 7,812.29 × 2,743.77
  4. Step 4: Simplify right side
    5,206.78x = 21,435,126.93
  5. Step 5: Solve for x
    x = 21,435,126.93/5,206.78
  6. Step 6: Final answer
    x = 4,116.78

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