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Finding the Fourth Proportional to 5,226.31, 7,212.06 and 2,868.49

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Solution

The fourth proportional to 5,226.31, 7,212.06 and 2,868.49 is: 3,958.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226.31 : 7,212.06 = 2,868.49 : x
  2. Step 2: Convert to fraction form
    5,226.31/7,212.06 = 2,868.49/x
  3. Step 3: Cross multiply
    5,226.31x = 7,212.06 × 2,868.49
  4. Step 4: Simplify right side
    5,226.31x = 20,687,685.93
  5. Step 5: Solve for x
    x = 20,687,685.93/5,226.31
  6. Step 6: Final answer
    x = 3,958.38

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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.