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Finding the Fourth Proportional to 3,691.89, 5,540.28 and 1,744.23

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Solution

The fourth proportional to 3,691.89, 5,540.28 and 1,744.23 is: 2,617.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.89 : 5,540.28 = 1,744.23 : x
  2. Step 2: Convert to fraction form
    3,691.89/5,540.28 = 1,744.23/x
  3. Step 3: Cross multiply
    3,691.89x = 5,540.28 × 1,744.23
  4. Step 4: Simplify right side
    3,691.89x = 9,663,522.58
  5. Step 5: Solve for x
    x = 9,663,522.58/3,691.89
  6. Step 6: Final answer
    x = 2,617.50

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1.5x scale

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.