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Finding the Fourth Proportional to 5,129.72, 7,694.76 and 1,667

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Solution

The fourth proportional to 5,129.72, 7,694.76 and 1,667 is: 2,500.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.72 : 7,694.76 = 1,667 : x
  2. Step 2: Convert to fraction form
    5,129.72/7,694.76 = 1,667/x
  3. Step 3: Cross multiply
    5,129.72x = 7,694.76 × 1,667
  4. Step 4: Simplify right side
    5,129.72x = 12,827,164.92
  5. Step 5: Solve for x
    x = 12,827,164.92/5,129.72
  6. Step 6: Final answer
    x = 2,500.56

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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.