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Finding the Fourth Proportional to 3,693.12, 5,536.13 and 1,352.49

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Solution

The fourth proportional to 3,693.12, 5,536.13 and 1,352.49 is: 2,027.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.12 : 5,536.13 = 1,352.49 : x
  2. Step 2: Convert to fraction form
    3,693.12/5,536.13 = 1,352.49/x
  3. Step 3: Cross multiply
    3,693.12x = 5,536.13 × 1,352.49
  4. Step 4: Simplify right side
    3,693.12x = 7,487,553.70
  5. Step 5: Solve for x
    x = 7,487,553.70/3,693.12
  6. Step 6: Final answer
    x = 2,027.43

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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.