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Finding the Fourth Proportional to 3,879.92, 5,359.77 and 3,006.98

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Solution

The fourth proportional to 3,879.92, 5,359.77 and 3,006.98 is: 4,153.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.92 : 5,359.77 = 3,006.98 : x
  2. Step 2: Convert to fraction form
    3,879.92/5,359.77 = 3,006.98/x
  3. Step 3: Cross multiply
    3,879.92x = 5,359.77 × 3,006.98
  4. Step 4: Simplify right side
    3,879.92x = 16,116,721.19
  5. Step 5: Solve for x
    x = 16,116,721.19/3,879.92
  6. Step 6: Final answer
    x = 4,153.88

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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.