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Finding the Fourth Proportional to 3,321.92, 5,007.60 and 2,863.46

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Solution

The fourth proportional to 3,321.92, 5,007.60 and 2,863.46 is: 4,316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,321.92 : 5,007.60 = 2,863.46 : x
  2. Step 2: Convert to fraction form
    3,321.92/5,007.60 = 2,863.46/x
  3. Step 3: Cross multiply
    3,321.92x = 5,007.60 × 2,863.46
  4. Step 4: Simplify right side
    3,321.92x = 14,339,062.30
  5. Step 5: Solve for x
    x = 14,339,062.30/3,321.92
  6. Step 6: Final answer
    x = 4,316.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.