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Finding the Fourth Proportional to 4,882.92, 7,324.38 and 1,185.09

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Solution

The fourth proportional to 4,882.92, 7,324.38 and 1,185.09 is: 1,777.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.92 : 7,324.38 = 1,185.09 : x
  2. Step 2: Convert to fraction form
    4,882.92/7,324.38 = 1,185.09/x
  3. Step 3: Cross multiply
    4,882.92x = 7,324.38 × 1,185.09
  4. Step 4: Simplify right side
    4,882.92x = 8,680,049.49
  5. Step 5: Solve for x
    x = 8,680,049.49/4,882.92
  6. Step 6: Final answer
    x = 1,777.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.