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Finding the Fourth Proportional to 3,694.22, 5,098.68 and 2,203

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Solution

The fourth proportional to 3,694.22, 5,098.68 and 2,203 is: 3,040.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.22 : 5,098.68 = 2,203 : x
  2. Step 2: Convert to fraction form
    3,694.22/5,098.68 = 2,203/x
  3. Step 3: Cross multiply
    3,694.22x = 5,098.68 × 2,203
  4. Step 4: Simplify right side
    3,694.22x = 11,232,392.04
  5. Step 5: Solve for x
    x = 11,232,392.04/3,694.22
  6. Step 6: Final answer
    x = 3,040.53

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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.