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Finding the Fourth Proportional to 5,744.93, 7,927.70 and 3,227.15

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Solution

The fourth proportional to 5,744.93, 7,927.70 and 3,227.15 is: 4,453.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.93 : 7,927.70 = 3,227.15 : x
  2. Step 2: Convert to fraction form
    5,744.93/7,927.70 = 3,227.15/x
  3. Step 3: Cross multiply
    5,744.93x = 7,927.70 × 3,227.15
  4. Step 4: Simplify right side
    5,744.93x = 25,583,871.18
  5. Step 5: Solve for x
    x = 25,583,871.18/5,744.93
  6. Step 6: Final answer
    x = 4,453.29

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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.