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Finding the Fourth Proportional to 5,832.96, 8,049.81 and 3,180.30

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Solution

The fourth proportional to 5,832.96, 8,049.81 and 3,180.30 is: 4,388.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.96 : 8,049.81 = 3,180.30 : x
  2. Step 2: Convert to fraction form
    5,832.96/8,049.81 = 3,180.30/x
  3. Step 3: Cross multiply
    5,832.96x = 8,049.81 × 3,180.30
  4. Step 4: Simplify right side
    5,832.96x = 25,600,810.74
  5. Step 5: Solve for x
    x = 25,600,810.74/5,832.96
  6. Step 6: Final answer
    x = 4,388.99

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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.