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Finding the Fourth Proportional to 4,616.91, 6,923.21 and 1,536.75

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Solution

The fourth proportional to 4,616.91, 6,923.21 and 1,536.75 is: 2,304.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.91 : 6,923.21 = 1,536.75 : x
  2. Step 2: Convert to fraction form
    4,616.91/6,923.21 = 1,536.75/x
  3. Step 3: Cross multiply
    4,616.91x = 6,923.21 × 1,536.75
  4. Step 4: Simplify right side
    4,616.91x = 10,639,235.28
  5. Step 5: Solve for x
    x = 10,639,235.28/4,616.91
  6. Step 6: Final answer
    x = 2,304.41

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