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Finding the Fourth Proportional to 3,757.96, 5,188.02 and 2,266.22

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Solution

The fourth proportional to 3,757.96, 5,188.02 and 2,266.22 is: 3,128.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.96 : 5,188.02 = 2,266.22 : x
  2. Step 2: Convert to fraction form
    3,757.96/5,188.02 = 2,266.22/x
  3. Step 3: Cross multiply
    3,757.96x = 5,188.02 × 2,266.22
  4. Step 4: Simplify right side
    3,757.96x = 11,757,194.68
  5. Step 5: Solve for x
    x = 11,757,194.68/3,757.96
  6. Step 6: Final answer
    x = 3,128.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.