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Finding the Fourth Proportional to 5,731.34, 7,906.33 and 3,743.06

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Solution

The fourth proportional to 5,731.34, 7,906.33 and 3,743.06 is: 5,163.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.34 : 7,906.33 = 3,743.06 : x
  2. Step 2: Convert to fraction form
    5,731.34/7,906.33 = 3,743.06/x
  3. Step 3: Cross multiply
    5,731.34x = 7,906.33 × 3,743.06
  4. Step 4: Simplify right side
    5,731.34x = 29,593,832.72
  5. Step 5: Solve for x
    x = 29,593,832.72/5,731.34
  6. Step 6: Final answer
    x = 5,163.51

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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.