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Finding the Fourth Proportional to 4,645.77, 6,414.17 and 2,879.25

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Solution

The fourth proportional to 4,645.77, 6,414.17 and 2,879.25 is: 3,975.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.77 : 6,414.17 = 2,879.25 : x
  2. Step 2: Convert to fraction form
    4,645.77/6,414.17 = 2,879.25/x
  3. Step 3: Cross multiply
    4,645.77x = 6,414.17 × 2,879.25
  4. Step 4: Simplify right side
    4,645.77x = 18,467,998.97
  5. Step 5: Solve for x
    x = 18,467,998.97/4,645.77
  6. Step 6: Final answer
    x = 3,975.23

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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.