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Finding the Fourth Proportional to 3,829.65, 5,744.62 and 1,197.40

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Solution

The fourth proportional to 3,829.65, 5,744.62 and 1,197.40 is: 1,796.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.65 : 5,744.62 = 1,197.40 : x
  2. Step 2: Convert to fraction form
    3,829.65/5,744.62 = 1,197.40/x
  3. Step 3: Cross multiply
    3,829.65x = 5,744.62 × 1,197.40
  4. Step 4: Simplify right side
    3,829.65x = 6,878,607.99
  5. Step 5: Solve for x
    x = 6,878,607.99/3,829.65
  6. Step 6: Final answer
    x = 1,796.15

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