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Finding the Fourth Proportional to 5,879.78, 8,113.93 and 3,227.43

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Solution

The fourth proportional to 5,879.78, 8,113.93 and 3,227.43 is: 4,453.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,879.78 : 8,113.93 = 3,227.43 : x
  2. Step 2: Convert to fraction form
    5,879.78/8,113.93 = 3,227.43/x
  3. Step 3: Cross multiply
    5,879.78x = 8,113.93 × 3,227.43
  4. Step 4: Simplify right side
    5,879.78x = 26,187,141.10
  5. Step 5: Solve for x
    x = 26,187,141.10/5,879.78
  6. Step 6: Final answer
    x = 4,453.76

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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.