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Finding the Fourth Proportional to 3,857.65, 5,784.24 and 3,396.35

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Solution

The fourth proportional to 3,857.65, 5,784.24 and 3,396.35 is: 5,092.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.65 : 5,784.24 = 3,396.35 : x
  2. Step 2: Convert to fraction form
    3,857.65/5,784.24 = 3,396.35/x
  3. Step 3: Cross multiply
    3,857.65x = 5,784.24 × 3,396.35
  4. Step 4: Simplify right side
    3,857.65x = 19,645,330.72
  5. Step 5: Solve for x
    x = 19,645,330.72/3,857.65
  6. Step 6: Final answer
    x = 5,092.57

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