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Finding the Fourth Proportional to 5,679.25, 7,837.31 and 3,161.45

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Solution

The fourth proportional to 5,679.25, 7,837.31 and 3,161.45 is: 4,362.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.25 : 7,837.31 = 3,161.45 : x
  2. Step 2: Convert to fraction form
    5,679.25/7,837.31 = 3,161.45/x
  3. Step 3: Cross multiply
    5,679.25x = 7,837.31 × 3,161.45
  4. Step 4: Simplify right side
    5,679.25x = 24,777,291.20
  5. Step 5: Solve for x
    x = 24,777,291.20/5,679.25
  6. Step 6: Final answer
    x = 4,362.78

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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.