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Finding the Fourth Proportional to 3,829.70, 5,744.67 and 1,364.48

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Solution

The fourth proportional to 3,829.70, 5,744.67 and 1,364.48 is: 2,046.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.70 : 5,744.67 = 1,364.48 : x
  2. Step 2: Convert to fraction form
    3,829.70/5,744.67 = 1,364.48/x
  3. Step 3: Cross multiply
    3,829.70x = 5,744.67 × 1,364.48
  4. Step 4: Simplify right side
    3,829.70x = 7,838,487.32
  5. Step 5: Solve for x
    x = 7,838,487.32/3,829.70
  6. Step 6: Final answer
    x = 2,046.76

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