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Finding the Fourth Proportional to 5,108, 7,049.06 and 2,869.80

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Solution

The fourth proportional to 5,108, 7,049.06 and 2,869.80 is: 3,960.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108 : 7,049.06 = 2,869.80 : x
  2. Step 2: Convert to fraction form
    5,108/7,049.06 = 2,869.80/x
  3. Step 3: Cross multiply
    5,108x = 7,049.06 × 2,869.80
  4. Step 4: Simplify right side
    5,108x = 20,229,392.39
  5. Step 5: Solve for x
    x = 20,229,392.39/5,108
  6. Step 6: Final answer
    x = 3,960.34

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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.