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Finding the Fourth Proportional to 3,696.46, 5,540.11 and 1,744.57

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Solution

The fourth proportional to 3,696.46, 5,540.11 and 1,744.57 is: 2,614.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.46 : 5,540.11 = 1,744.57 : x
  2. Step 2: Convert to fraction form
    3,696.46/5,540.11 = 1,744.57/x
  3. Step 3: Cross multiply
    3,696.46x = 5,540.11 × 1,744.57
  4. Step 4: Simplify right side
    3,696.46x = 9,665,109.70
  5. Step 5: Solve for x
    x = 9,665,109.70/3,696.46
  6. Step 6: Final answer
    x = 2,614.69

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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.