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Finding the Fourth Proportional to 3,825.76, 5,740.44 and 1,362.46

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Solution

The fourth proportional to 3,825.76, 5,740.44 and 1,362.46 is: 2,044.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.76 : 5,740.44 = 1,362.46 : x
  2. Step 2: Convert to fraction form
    3,825.76/5,740.44 = 1,362.46/x
  3. Step 3: Cross multiply
    3,825.76x = 5,740.44 × 1,362.46
  4. Step 4: Simplify right side
    3,825.76x = 7,821,119.88
  5. Step 5: Solve for x
    x = 7,821,119.88/3,825.76
  6. Step 6: Final answer
    x = 2,044.33

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