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Finding the Fourth Proportional to 3,109.62, 4,665.84 and 1,161.96

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Solution

The fourth proportional to 3,109.62, 4,665.84 and 1,161.96 is: 1,743.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.62 : 4,665.84 = 1,161.96 : x
  2. Step 2: Convert to fraction form
    3,109.62/4,665.84 = 1,161.96/x
  3. Step 3: Cross multiply
    3,109.62x = 4,665.84 × 1,161.96
  4. Step 4: Simplify right side
    3,109.62x = 5,421,519.45
  5. Step 5: Solve for x
    x = 5,421,519.45/3,109.62
  6. Step 6: Final answer
    x = 1,743.47

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