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Finding the Fourth Proportional to 3,882.96, 5,828.04 and 1,574.64

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Solution

The fourth proportional to 3,882.96, 5,828.04 and 1,574.64 is: 2,363.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.96 : 5,828.04 = 1,574.64 : x
  2. Step 2: Convert to fraction form
    3,882.96/5,828.04 = 1,574.64/x
  3. Step 3: Cross multiply
    3,882.96x = 5,828.04 × 1,574.64
  4. Step 4: Simplify right side
    3,882.96x = 9,177,064.91
  5. Step 5: Solve for x
    x = 9,177,064.91/3,882.96
  6. Step 6: Final answer
    x = 2,363.42

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