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Finding the Fourth Proportional to 5,832.94, 8,049.22 and 3,180.30

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Solution

The fourth proportional to 5,832.94, 8,049.22 and 3,180.30 is: 4,388.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.94 : 8,049.22 = 3,180.30 : x
  2. Step 2: Convert to fraction form
    5,832.94/8,049.22 = 3,180.30/x
  3. Step 3: Cross multiply
    5,832.94x = 8,049.22 × 3,180.30
  4. Step 4: Simplify right side
    5,832.94x = 25,598,934.37
  5. Step 5: Solve for x
    x = 25,598,934.37/5,832.94
  6. Step 6: Final answer
    x = 4,388.68

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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.