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Finding the Fourth Proportional to 5,769.88, 7,954.14 and 4,111

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Solution

The fourth proportional to 5,769.88, 7,954.14 and 4,111 is: 5,667.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.88 : 7,954.14 = 4,111 : x
  2. Step 2: Convert to fraction form
    5,769.88/7,954.14 = 4,111/x
  3. Step 3: Cross multiply
    5,769.88x = 7,954.14 × 4,111
  4. Step 4: Simplify right side
    5,769.88x = 32,699,469.54
  5. Step 5: Solve for x
    x = 32,699,469.54/5,769.88
  6. Step 6: Final answer
    x = 5,667.27

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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.