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Finding the Fourth Proportional to 5,206.56, 7,806.20 and 1,918.77

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Solution

The fourth proportional to 5,206.56, 7,806.20 and 1,918.77 is: 2,876.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.56 : 7,806.20 = 1,918.77 : x
  2. Step 2: Convert to fraction form
    5,206.56/7,806.20 = 1,918.77/x
  3. Step 3: Cross multiply
    5,206.56x = 7,806.20 × 1,918.77
  4. Step 4: Simplify right side
    5,206.56x = 14,978,292.78
  5. Step 5: Solve for x
    x = 14,978,292.78/5,206.56
  6. Step 6: Final answer
    x = 2,876.81

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