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Finding the Fourth Proportional to 3,902.92, 5,850.62 and 2,257.96

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Solution

The fourth proportional to 3,902.92, 5,850.62 and 2,257.96 is: 3,384.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.92 : 5,850.62 = 2,257.96 : x
  2. Step 2: Convert to fraction form
    3,902.92/5,850.62 = 2,257.96/x
  3. Step 3: Cross multiply
    3,902.92x = 5,850.62 × 2,257.96
  4. Step 4: Simplify right side
    3,902.92x = 13,210,465.94
  5. Step 5: Solve for x
    x = 13,210,465.94/3,902.92
  6. Step 6: Final answer
    x = 3,384.76

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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.