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Finding the Fourth Proportional to 3,934.24, 5,902.82 and 1,741.40

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Solution

The fourth proportional to 3,934.24, 5,902.82 and 1,741.40 is: 2,612.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.24 : 5,902.82 = 1,741.40 : x
  2. Step 2: Convert to fraction form
    3,934.24/5,902.82 = 1,741.40/x
  3. Step 3: Cross multiply
    3,934.24x = 5,902.82 × 1,741.40
  4. Step 4: Simplify right side
    3,934.24x = 10,279,170.75
  5. Step 5: Solve for x
    x = 10,279,170.75/3,934.24
  6. Step 6: Final answer
    x = 2,612.75

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