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Finding the Fourth Proportional to 5,744.41, 7,927.18 and 3,226.54

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Solution

The fourth proportional to 5,744.41, 7,927.18 and 3,226.54 is: 4,452.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.41 : 7,927.18 = 3,226.54 : x
  2. Step 2: Convert to fraction form
    5,744.41/7,927.18 = 3,226.54/x
  3. Step 3: Cross multiply
    5,744.41x = 7,927.18 × 3,226.54
  4. Step 4: Simplify right side
    5,744.41x = 25,577,363.36
  5. Step 5: Solve for x
    x = 25,577,363.36/5,744.41
  6. Step 6: Final answer
    x = 4,452.57

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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.