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Finding the Fourth Proportional to 5,755.61, 7,926.27 and 5,183.57

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Solution

The fourth proportional to 5,755.61, 7,926.27 and 5,183.57 is: 7,138.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.61 : 7,926.27 = 5,183.57 : x
  2. Step 2: Convert to fraction form
    5,755.61/7,926.27 = 5,183.57/x
  3. Step 3: Cross multiply
    5,755.61x = 7,926.27 × 5,183.57
  4. Step 4: Simplify right side
    5,755.61x = 41,086,335.75
  5. Step 5: Solve for x
    x = 41,086,335.75/5,755.61
  6. Step 6: Final answer
    x = 7,138.49

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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.