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Finding the Fourth Proportional to 4,900.43, 6,760 and 3,104.74

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Solution

The fourth proportional to 4,900.43, 6,760 and 3,104.74 is: 4,282.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.43 : 6,760 = 3,104.74 : x
  2. Step 2: Convert to fraction form
    4,900.43/6,760 = 3,104.74/x
  3. Step 3: Cross multiply
    4,900.43x = 6,760 × 3,104.74
  4. Step 4: Simplify right side
    4,900.43x = 20,988,042.40
  5. Step 5: Solve for x
    x = 20,988,042.40/4,900.43
  6. Step 6: Final answer
    x = 4,282.90

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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.