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Finding the Fourth Proportional to 5,189, 7,160.82 and 3,326

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Solution

The fourth proportional to 5,189, 7,160.82 and 3,326 is: 4,589.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189 : 7,160.82 = 3,326 : x
  2. Step 2: Convert to fraction form
    5,189/7,160.82 = 3,326/x
  3. Step 3: Cross multiply
    5,189x = 7,160.82 × 3,326
  4. Step 4: Simplify right side
    5,189x = 23,816,887.32
  5. Step 5: Solve for x
    x = 23,816,887.32/5,189
  6. Step 6: Final answer
    x = 4,589.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.