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Finding the Fourth Proportional to 3,409.93, 5,105.17 and 2,889.91

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Solution

The fourth proportional to 3,409.93, 5,105.17 and 2,889.91 is: 4,326.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.93 : 5,105.17 = 2,889.91 : x
  2. Step 2: Convert to fraction form
    3,409.93/5,105.17 = 2,889.91/x
  3. Step 3: Cross multiply
    3,409.93x = 5,105.17 × 2,889.91
  4. Step 4: Simplify right side
    3,409.93x = 14,753,481.83
  5. Step 5: Solve for x
    x = 14,753,481.83/3,409.93
  6. Step 6: Final answer
    x = 4,326.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.