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Finding the Fourth Proportional to 3,934.40, 5,900.24 and 1,744.66

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Solution

The fourth proportional to 3,934.40, 5,900.24 and 1,744.66 is: 2,616.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.40 : 5,900.24 = 1,744.66 : x
  2. Step 2: Convert to fraction form
    3,934.40/5,900.24 = 1,744.66/x
  3. Step 3: Cross multiply
    3,934.40x = 5,900.24 × 1,744.66
  4. Step 4: Simplify right side
    3,934.40x = 10,293,912.72
  5. Step 5: Solve for x
    x = 10,293,912.72/3,934.40
  6. Step 6: Final answer
    x = 2,616.39

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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.