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Finding the Fourth Proportional to 5,514.57, 8,264.09 and 2,738.61

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Solution

The fourth proportional to 5,514.57, 8,264.09 and 2,738.61 is: 4,104.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,514.57 : 8,264.09 = 2,738.61 : x
  2. Step 2: Convert to fraction form
    5,514.57/8,264.09 = 2,738.61/x
  3. Step 3: Cross multiply
    5,514.57x = 8,264.09 × 2,738.61
  4. Step 4: Simplify right side
    5,514.57x = 22,632,105.82
  5. Step 5: Solve for x
    x = 22,632,105.82/5,514.57
  6. Step 6: Final answer
    x = 4,104.06

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