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Finding the Fourth Proportional to 4,144.38, 5,719.16 and 2,256

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Solution

The fourth proportional to 4,144.38, 5,719.16 and 2,256 is: 3,113.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,144.38 : 5,719.16 = 2,256 : x
  2. Step 2: Convert to fraction form
    4,144.38/5,719.16 = 2,256/x
  3. Step 3: Cross multiply
    4,144.38x = 5,719.16 × 2,256
  4. Step 4: Simplify right side
    4,144.38x = 12,902,424.96
  5. Step 5: Solve for x
    x = 12,902,424.96/4,144.38
  6. Step 6: Final answer
    x = 3,113.23

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Why These Related Problems?

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