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Finding the Fourth Proportional to 5,832.65, 8,049.11 and 3,180.11

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Solution

The fourth proportional to 5,832.65, 8,049.11 and 3,180.11 is: 4,388.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.65 : 8,049.11 = 3,180.11 : x
  2. Step 2: Convert to fraction form
    5,832.65/8,049.11 = 3,180.11/x
  3. Step 3: Cross multiply
    5,832.65x = 8,049.11 × 3,180.11
  4. Step 4: Simplify right side
    5,832.65x = 25,597,083.28
  5. Step 5: Solve for x
    x = 25,597,083.28/5,832.65
  6. Step 6: Final answer
    x = 4,388.58

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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.