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Finding the Fourth Proportional to 3,699.92, 5,107.38 and 2,522.18

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Solution

The fourth proportional to 3,699.92, 5,107.38 and 2,522.18 is: 3,481.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.92 : 5,107.38 = 2,522.18 : x
  2. Step 2: Convert to fraction form
    3,699.92/5,107.38 = 2,522.18/x
  3. Step 3: Cross multiply
    3,699.92x = 5,107.38 × 2,522.18
  4. Step 4: Simplify right side
    3,699.92x = 12,881,731.69
  5. Step 5: Solve for x
    x = 12,881,731.69/3,699.92
  6. Step 6: Final answer
    x = 3,481.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.