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Finding the Fourth Proportional to 5,832.90, 8,049.31 and 3,180.42

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Solution

The fourth proportional to 5,832.90, 8,049.31 and 3,180.42 is: 4,388.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.90 : 8,049.31 = 3,180.42 : x
  2. Step 2: Convert to fraction form
    5,832.90/8,049.31 = 3,180.42/x
  3. Step 3: Cross multiply
    5,832.90x = 8,049.31 × 3,180.42
  4. Step 4: Simplify right side
    5,832.90x = 25,600,178.56
  5. Step 5: Solve for x
    x = 25,600,178.56/5,832.90
  6. Step 6: Final answer
    x = 4,388.93

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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.