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Finding the Fourth Proportional to 5,744.78, 7,927.22 and 3,226.70

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Solution

The fourth proportional to 5,744.78, 7,927.22 and 3,226.70 is: 4,452.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.78 : 7,927.22 = 3,226.70 : x
  2. Step 2: Convert to fraction form
    5,744.78/7,927.22 = 3,226.70/x
  3. Step 3: Cross multiply
    5,744.78x = 7,927.22 × 3,226.70
  4. Step 4: Simplify right side
    5,744.78x = 25,578,760.77
  5. Step 5: Solve for x
    x = 25,578,760.77/5,744.78
  6. Step 6: Final answer
    x = 4,452.52

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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.