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Finding the Fourth Proportional to 4,144.44, 5,719.17 and 2,255.97

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Solution

The fourth proportional to 4,144.44, 5,719.17 and 2,255.97 is: 3,113.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,144.44 : 5,719.17 = 2,255.97 : x
  2. Step 2: Convert to fraction form
    4,144.44/5,719.17 = 2,255.97/x
  3. Step 3: Cross multiply
    4,144.44x = 5,719.17 × 2,255.97
  4. Step 4: Simplify right side
    4,144.44x = 12,902,275.94
  5. Step 5: Solve for x
    x = 12,902,275.94/4,144.44
  6. Step 6: Final answer
    x = 3,113.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.