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Finding the Fourth Proportional to 6,049.92, 9,072.54 and 2,351.67

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Solution

The fourth proportional to 6,049.92, 9,072.54 and 2,351.67 is: 3,526.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.92 : 9,072.54 = 2,351.67 : x
  2. Step 2: Convert to fraction form
    6,049.92/9,072.54 = 2,351.67/x
  3. Step 3: Cross multiply
    6,049.92x = 9,072.54 × 2,351.67
  4. Step 4: Simplify right side
    6,049.92x = 21,335,620.14
  5. Step 5: Solve for x
    x = 21,335,620.14/6,049.92
  6. Step 6: Final answer
    x = 3,526.60

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Why These Related Problems?

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