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Finding the Fourth Proportional to 3,882.43, 5,823.63 and 1,690.90

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Solution

The fourth proportional to 3,882.43, 5,823.63 and 1,690.90 is: 2,536.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.43 : 5,823.63 = 1,690.90 : x
  2. Step 2: Convert to fraction form
    3,882.43/5,823.63 = 1,690.90/x
  3. Step 3: Cross multiply
    3,882.43x = 5,823.63 × 1,690.90
  4. Step 4: Simplify right side
    3,882.43x = 9,847,175.97
  5. Step 5: Solve for x
    x = 9,847,175.97/3,882.43
  6. Step 6: Final answer
    x = 2,536.34

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