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Finding the Fourth Proportional to 5,234.96, 7,847.52 and 1,769.78

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Solution

The fourth proportional to 5,234.96, 7,847.52 and 1,769.78 is: 2,653.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.96 : 7,847.52 = 1,769.78 : x
  2. Step 2: Convert to fraction form
    5,234.96/7,847.52 = 1,769.78/x
  3. Step 3: Cross multiply
    5,234.96x = 7,847.52 × 1,769.78
  4. Step 4: Simplify right side
    5,234.96x = 13,888,383.95
  5. Step 5: Solve for x
    x = 13,888,383.95/5,234.96
  6. Step 6: Final answer
    x = 2,653.01

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