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Finding the Fourth Proportional to 5,744.42, 7,926.81 and 3,226.33

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Solution

The fourth proportional to 5,744.42, 7,926.81 and 3,226.33 is: 4,452.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.42 : 7,926.81 = 3,226.33 : x
  2. Step 2: Convert to fraction form
    5,744.42/7,926.81 = 3,226.33/x
  3. Step 3: Cross multiply
    5,744.42x = 7,926.81 × 3,226.33
  4. Step 4: Simplify right side
    5,744.42x = 25,574,502.72
  5. Step 5: Solve for x
    x = 25,574,502.72/5,744.42
  6. Step 6: Final answer
    x = 4,452.06

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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.