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Finding the Fourth Proportional to 3,694.45, 5,098.21 and 2,202.02

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Solution

The fourth proportional to 3,694.45, 5,098.21 and 2,202.02 is: 3,038.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.45 : 5,098.21 = 2,202.02 : x
  2. Step 2: Convert to fraction form
    3,694.45/5,098.21 = 2,202.02/x
  3. Step 3: Cross multiply
    3,694.45x = 5,098.21 × 2,202.02
  4. Step 4: Simplify right side
    3,694.45x = 11,226,360.38
  5. Step 5: Solve for x
    x = 11,226,360.38/3,694.45
  6. Step 6: Final answer
    x = 3,038.71

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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.