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Finding the Fourth Proportional to 5,198.51, 7,796.54 and 1,909.82

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Solution

The fourth proportional to 5,198.51, 7,796.54 and 1,909.82 is: 2,864.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.51 : 7,796.54 = 1,909.82 : x
  2. Step 2: Convert to fraction form
    5,198.51/7,796.54 = 1,909.82/x
  3. Step 3: Cross multiply
    5,198.51x = 7,796.54 × 1,909.82
  4. Step 4: Simplify right side
    5,198.51x = 14,890,012.29
  5. Step 5: Solve for x
    x = 14,890,012.29/5,198.51
  6. Step 6: Final answer
    x = 2,864.28

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