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Finding the Fourth Proportional to 3,382.92, 5,063.76 and 2,146.08

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Solution

The fourth proportional to 3,382.92, 5,063.76 and 2,146.08 is: 3,212.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.92 : 5,063.76 = 2,146.08 : x
  2. Step 2: Convert to fraction form
    3,382.92/5,063.76 = 2,146.08/x
  3. Step 3: Cross multiply
    3,382.92x = 5,063.76 × 2,146.08
  4. Step 4: Simplify right side
    3,382.92x = 10,867,234.06
  5. Step 5: Solve for x
    x = 10,867,234.06/3,382.92
  6. Step 6: Final answer
    x = 3,212.38

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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.