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Finding the Fourth Proportional to 3,699.52, 5,105.13 and 2,207.43

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Solution

The fourth proportional to 3,699.52, 5,105.13 and 2,207.43 is: 3,046.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.52 : 5,105.13 = 2,207.43 : x
  2. Step 2: Convert to fraction form
    3,699.52/5,105.13 = 2,207.43/x
  3. Step 3: Cross multiply
    3,699.52x = 5,105.13 × 2,207.43
  4. Step 4: Simplify right side
    3,699.52x = 11,269,194.48
  5. Step 5: Solve for x
    x = 11,269,194.48/3,699.52
  6. Step 6: Final answer
    x = 3,046.12

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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.