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Finding the Fourth Proportional to 5,879.56, 8,114 and 3,227.04

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Solution

The fourth proportional to 5,879.56, 8,114 and 3,227.04 is: 4,453.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,879.56 : 8,114 = 3,227.04 : x
  2. Step 2: Convert to fraction form
    5,879.56/8,114 = 3,227.04/x
  3. Step 3: Cross multiply
    5,879.56x = 8,114 × 3,227.04
  4. Step 4: Simplify right side
    5,879.56x = 26,184,202.56
  5. Step 5: Solve for x
    x = 26,184,202.56/5,879.56
  6. Step 6: Final answer
    x = 4,453.43

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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.