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Finding the Fourth Proportional to 3,134.92, 4,679.49 and 2,906.50

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Solution

The fourth proportional to 3,134.92, 4,679.49 and 2,906.50 is: 4,338.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.92 : 4,679.49 = 2,906.50 : x
  2. Step 2: Convert to fraction form
    3,134.92/4,679.49 = 2,906.50/x
  3. Step 3: Cross multiply
    3,134.92x = 4,679.49 × 2,906.50
  4. Step 4: Simplify right side
    3,134.92x = 13,600,937.69
  5. Step 5: Solve for x
    x = 13,600,937.69/3,134.92
  6. Step 6: Final answer
    x = 4,338.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.