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Finding the Fourth Proportional to 5,204.20, 7,805.82 and 1,741.48

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Solution

The fourth proportional to 5,204.20, 7,805.82 and 1,741.48 is: 2,612.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.20 : 7,805.82 = 1,741.48 : x
  2. Step 2: Convert to fraction form
    5,204.20/7,805.82 = 1,741.48/x
  3. Step 3: Cross multiply
    5,204.20x = 7,805.82 × 1,741.48
  4. Step 4: Simplify right side
    5,204.20x = 13,593,679.41
  5. Step 5: Solve for x
    x = 13,593,679.41/5,204.20
  6. Step 6: Final answer
    x = 2,612.06

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