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Finding the Fourth Proportional to 4,759.88, 7,138.02 and 3,294.62

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Solution

The fourth proportional to 4,759.88, 7,138.02 and 3,294.62 is: 4,940.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,759.88 : 7,138.02 = 3,294.62 : x
  2. Step 2: Convert to fraction form
    4,759.88/7,138.02 = 3,294.62/x
  3. Step 3: Cross multiply
    4,759.88x = 7,138.02 × 3,294.62
  4. Step 4: Simplify right side
    4,759.88x = 23,517,063.45
  5. Step 5: Solve for x
    x = 23,517,063.45/4,759.88
  6. Step 6: Final answer
    x = 4,940.68

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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.