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Finding the Fourth Proportional to 5,832.70, 8,049.10 and 3,180.10

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Solution

The fourth proportional to 5,832.70, 8,049.10 and 3,180.10 is: 4,388.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.70 : 8,049.10 = 3,180.10 : x
  2. Step 2: Convert to fraction form
    5,832.70/8,049.10 = 3,180.10/x
  3. Step 3: Cross multiply
    5,832.70x = 8,049.10 × 3,180.10
  4. Step 4: Simplify right side
    5,832.70x = 25,596,942.91
  5. Step 5: Solve for x
    x = 25,596,942.91/5,832.70
  6. Step 6: Final answer
    x = 4,388.52

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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.