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Finding the Fourth Proportional to 5,879.76, 8,114.16 and 3,227.13

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Solution

The fourth proportional to 5,879.76, 8,114.16 and 3,227.13 is: 4,453.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,879.76 : 8,114.16 = 3,227.13 : x
  2. Step 2: Convert to fraction form
    5,879.76/8,114.16 = 3,227.13/x
  3. Step 3: Cross multiply
    5,879.76x = 8,114.16 × 3,227.13
  4. Step 4: Simplify right side
    5,879.76x = 26,185,449.16
  5. Step 5: Solve for x
    x = 26,185,449.16/5,879.76
  6. Step 6: Final answer
    x = 4,453.49

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