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Finding the Fourth Proportional to 3,744.05, 5,616.07 and 1,769.87

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Solution

The fourth proportional to 3,744.05, 5,616.07 and 1,769.87 is: 2,654.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.05 : 5,616.07 = 1,769.87 : x
  2. Step 2: Convert to fraction form
    3,744.05/5,616.07 = 1,769.87/x
  3. Step 3: Cross multiply
    3,744.05x = 5,616.07 × 1,769.87
  4. Step 4: Simplify right side
    3,744.05x = 9,939,734.87
  5. Step 5: Solve for x
    x = 9,939,734.87/3,744.05
  6. Step 6: Final answer
    x = 2,654.81

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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.