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Finding the Fourth Proportional to 4,144.37, 5,719.21 and 2,256.05

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Solution

The fourth proportional to 4,144.37, 5,719.21 and 2,256.05 is: 3,113.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,144.37 : 5,719.21 = 2,256.05 : x
  2. Step 2: Convert to fraction form
    4,144.37/5,719.21 = 2,256.05/x
  3. Step 3: Cross multiply
    4,144.37x = 5,719.21 × 2,256.05
  4. Step 4: Simplify right side
    4,144.37x = 12,902,832.38
  5. Step 5: Solve for x
    x = 12,902,832.38/4,144.37
  6. Step 6: Final answer
    x = 3,113.34

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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.