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Finding the Fourth Proportional to 4,608.50, 6,912.75 and 3,249.14

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Solution

The fourth proportional to 4,608.50, 6,912.75 and 3,249.14 is: 4,873.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.50 : 6,912.75 = 3,249.14 : x
  2. Step 2: Convert to fraction form
    4,608.50/6,912.75 = 3,249.14/x
  3. Step 3: Cross multiply
    4,608.50x = 6,912.75 × 3,249.14
  4. Step 4: Simplify right side
    4,608.50x = 22,460,492.54
  5. Step 5: Solve for x
    x = 22,460,492.54/4,608.50
  6. Step 6: Final answer
    x = 4,873.71

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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.