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Finding the Fourth Proportional to 5,177.50, 7,769.42 and 2,059

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Solution

The fourth proportional to 5,177.50, 7,769.42 and 2,059 is: 3,089.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177.50 : 7,769.42 = 2,059 : x
  2. Step 2: Convert to fraction form
    5,177.50/7,769.42 = 2,059/x
  3. Step 3: Cross multiply
    5,177.50x = 7,769.42 × 2,059
  4. Step 4: Simplify right side
    5,177.50x = 15,997,235.78
  5. Step 5: Solve for x
    x = 15,997,235.78/5,177.50
  6. Step 6: Final answer
    x = 3,089.76

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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.