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Finding the Fourth Proportional to 3,993.06, 5,949.45 and 3,769.50

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Solution

The fourth proportional to 3,993.06, 5,949.45 and 3,769.50 is: 5,616.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.06 : 5,949.45 = 3,769.50 : x
  2. Step 2: Convert to fraction form
    3,993.06/5,949.45 = 3,769.50/x
  3. Step 3: Cross multiply
    3,993.06x = 5,949.45 × 3,769.50
  4. Step 4: Simplify right side
    3,993.06x = 22,426,451.78
  5. Step 5: Solve for x
    x = 22,426,451.78/3,993.06
  6. Step 6: Final answer
    x = 5,616.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.