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Finding the Fourth Proportional to 5,769.27, 8,648.12 and 2,254.43

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Solution

The fourth proportional to 5,769.27, 8,648.12 and 2,254.43 is: 3,379.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.27 : 8,648.12 = 2,254.43 : x
  2. Step 2: Convert to fraction form
    5,769.27/8,648.12 = 2,254.43/x
  3. Step 3: Cross multiply
    5,769.27x = 8,648.12 × 2,254.43
  4. Step 4: Simplify right side
    5,769.27x = 19,496,608.43
  5. Step 5: Solve for x
    x = 19,496,608.43/5,769.27
  6. Step 6: Final answer
    x = 3,379.39

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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.