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Finding the Fourth Proportional to 5,309.97, 7,956.08 and 3,747.39

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Solution

The fourth proportional to 5,309.97, 7,956.08 and 3,747.39 is: 5,614.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.97 : 7,956.08 = 3,747.39 : x
  2. Step 2: Convert to fraction form
    5,309.97/7,956.08 = 3,747.39/x
  3. Step 3: Cross multiply
    5,309.97x = 7,956.08 × 3,747.39
  4. Step 4: Simplify right side
    5,309.97x = 29,814,504.22
  5. Step 5: Solve for x
    x = 29,814,504.22/5,309.97
  6. Step 6: Final answer
    x = 5,614.82

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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.