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Finding the Fourth Proportional to 5,879.64, 8,114.13 and 3,227.16

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Solution

The fourth proportional to 5,879.64, 8,114.13 and 3,227.16 is: 4,453.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,879.64 : 8,114.13 = 3,227.16 : x
  2. Step 2: Convert to fraction form
    5,879.64/8,114.13 = 3,227.16/x
  3. Step 3: Cross multiply
    5,879.64x = 8,114.13 × 3,227.16
  4. Step 4: Simplify right side
    5,879.64x = 26,185,595.77
  5. Step 5: Solve for x
    x = 26,185,595.77/5,879.64
  6. Step 6: Final answer
    x = 4,453.61

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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.