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Finding the Fourth Proportional to 3,805.29, 5,706.45 and 1,829.64

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Solution

The fourth proportional to 3,805.29, 5,706.45 and 1,829.64 is: 2,743.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.29 : 5,706.45 = 1,829.64 : x
  2. Step 2: Convert to fraction form
    3,805.29/5,706.45 = 1,829.64/x
  3. Step 3: Cross multiply
    3,805.29x = 5,706.45 × 1,829.64
  4. Step 4: Simplify right side
    3,805.29x = 10,440,749.18
  5. Step 5: Solve for x
    x = 10,440,749.18/3,805.29
  6. Step 6: Final answer
    x = 2,743.75

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