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Finding the Fourth Proportional to 3,769.50, 5,656.23 and 2,738.03

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Solution

The fourth proportional to 3,769.50, 5,656.23 and 2,738.03 is: 4,108.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.50 : 5,656.23 = 2,738.03 : x
  2. Step 2: Convert to fraction form
    3,769.50/5,656.23 = 2,738.03/x
  3. Step 3: Cross multiply
    3,769.50x = 5,656.23 × 2,738.03
  4. Step 4: Simplify right side
    3,769.50x = 15,486,927.43
  5. Step 5: Solve for x
    x = 15,486,927.43/3,769.50
  6. Step 6: Final answer
    x = 4,108.48

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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.