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Finding the Fourth Proportional to 4,912.92, 6,775.38 and 3,233.79

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Solution

The fourth proportional to 4,912.92, 6,775.38 and 3,233.79 is: 4,459.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,912.92 : 6,775.38 = 3,233.79 : x
  2. Step 2: Convert to fraction form
    4,912.92/6,775.38 = 3,233.79/x
  3. Step 3: Cross multiply
    4,912.92x = 6,775.38 × 3,233.79
  4. Step 4: Simplify right side
    4,912.92x = 21,910,156.09
  5. Step 5: Solve for x
    x = 21,910,156.09/4,912.92
  6. Step 6: Final answer
    x = 4,459.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.