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Finding the Fourth Proportional to 4,906.50, 7,361.76 and 2,131.74

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Solution

The fourth proportional to 4,906.50, 7,361.76 and 2,131.74 is: 3,198.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.50 : 7,361.76 = 2,131.74 : x
  2. Step 2: Convert to fraction form
    4,906.50/7,361.76 = 2,131.74/x
  3. Step 3: Cross multiply
    4,906.50x = 7,361.76 × 2,131.74
  4. Step 4: Simplify right side
    4,906.50x = 15,693,358.26
  5. Step 5: Solve for x
    x = 15,693,358.26/4,906.50
  6. Step 6: Final answer
    x = 3,198.48

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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.