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Finding the Fourth Proportional to 3,829.16, 5,744.64 and 1,364.19

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Solution

The fourth proportional to 3,829.16, 5,744.64 and 1,364.19 is: 2,046.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.16 : 5,744.64 = 1,364.19 : x
  2. Step 2: Convert to fraction form
    3,829.16/5,744.64 = 1,364.19/x
  3. Step 3: Cross multiply
    3,829.16x = 5,744.64 × 1,364.19
  4. Step 4: Simplify right side
    3,829.16x = 7,836,780.44
  5. Step 5: Solve for x
    x = 7,836,780.44/3,829.16
  6. Step 6: Final answer
    x = 2,046.61

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