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Finding the Fourth Proportional to 3,829.97, 5,743.53 and 1,364.13

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Solution

The fourth proportional to 3,829.97, 5,743.53 and 1,364.13 is: 2,045.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.97 : 5,743.53 = 1,364.13 : x
  2. Step 2: Convert to fraction form
    3,829.97/5,743.53 = 1,364.13/x
  3. Step 3: Cross multiply
    3,829.97x = 5,743.53 × 1,364.13
  4. Step 4: Simplify right side
    3,829.97x = 7,834,921.58
  5. Step 5: Solve for x
    x = 7,834,921.58/3,829.97
  6. Step 6: Final answer
    x = 2,045.69

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