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Finding the Fourth Proportional to 3,824.61, 5,735.83 and 1,743.51

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Solution

The fourth proportional to 3,824.61, 5,735.83 and 1,743.51 is: 2,614.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.61 : 5,735.83 = 1,743.51 : x
  2. Step 2: Convert to fraction form
    3,824.61/5,735.83 = 1,743.51/x
  3. Step 3: Cross multiply
    3,824.61x = 5,735.83 × 1,743.51
  4. Step 4: Simplify right side
    3,824.61x = 10,000,476.96
  5. Step 5: Solve for x
    x = 10,000,476.96/3,824.61
  6. Step 6: Final answer
    x = 2,614.77

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