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Finding the Fourth Proportional to 5,754.94, 7,942.22 and 3,237.29

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Solution

The fourth proportional to 5,754.94, 7,942.22 and 3,237.29 is: 4,467.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.94 : 7,942.22 = 3,237.29 : x
  2. Step 2: Convert to fraction form
    5,754.94/7,942.22 = 3,237.29/x
  3. Step 3: Cross multiply
    5,754.94x = 7,942.22 × 3,237.29
  4. Step 4: Simplify right side
    5,754.94x = 25,711,243.27
  5. Step 5: Solve for x
    x = 25,711,243.27/5,754.94
  6. Step 6: Final answer
    x = 4,467.68

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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.