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Finding the Fourth Proportional to 5,304.33, 7,961.36 and 2,709.09

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Solution

The fourth proportional to 5,304.33, 7,961.36 and 2,709.09 is: 4,066.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.33 : 7,961.36 = 2,709.09 : x
  2. Step 2: Convert to fraction form
    5,304.33/7,961.36 = 2,709.09/x
  3. Step 3: Cross multiply
    5,304.33x = 7,961.36 × 2,709.09
  4. Step 4: Simplify right side
    5,304.33x = 21,568,027.22
  5. Step 5: Solve for x
    x = 21,568,027.22/5,304.33
  6. Step 6: Final answer
    x = 4,066.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.