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Finding the Fourth Proportional to 5,832.96, 8,049.44 and 3,180.40

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Solution

The fourth proportional to 5,832.96, 8,049.44 and 3,180.40 is: 4,388.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.96 : 8,049.44 = 3,180.40 : x
  2. Step 2: Convert to fraction form
    5,832.96/8,049.44 = 3,180.40/x
  3. Step 3: Cross multiply
    5,832.96x = 8,049.44 × 3,180.40
  4. Step 4: Simplify right side
    5,832.96x = 25,600,438.98
  5. Step 5: Solve for x
    x = 25,600,438.98/5,832.96
  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.