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Finding the Fourth Proportional to 3,382.92, 5,072.46 and 2,469

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Solution

The fourth proportional to 3,382.92, 5,072.46 and 2,469 is: 3,702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.92 : 5,072.46 = 2,469 : x
  2. Step 2: Convert to fraction form
    3,382.92/5,072.46 = 2,469/x
  3. Step 3: Cross multiply
    3,382.92x = 5,072.46 × 2,469
  4. Step 4: Simplify right side
    3,382.92x = 12,523,903.74
  5. Step 5: Solve for x
    x = 12,523,903.74/3,382.92
  6. Step 6: Final answer
    x = 3,702.10

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Why These Related Problems?

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