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Finding the Fourth Proportional to 5,744.16, 7,926.78 and 3,226.55

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Solution

The fourth proportional to 5,744.16, 7,926.78 and 3,226.55 is: 4,452.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.16 : 7,926.78 = 3,226.55 : x
  2. Step 2: Convert to fraction form
    5,744.16/7,926.78 = 3,226.55/x
  3. Step 3: Cross multiply
    5,744.16x = 7,926.78 × 3,226.55
  4. Step 4: Simplify right side
    5,744.16x = 25,576,112.38
  5. Step 5: Solve for x
    x = 25,576,112.38/5,744.16
  6. Step 6: Final answer
    x = 4,452.54

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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.