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Finding the Fourth Proportional to 3,697, 5,542.98 and 2,052.52

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Solution

The fourth proportional to 3,697, 5,542.98 and 2,052.52 is: 3,077.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697 : 5,542.98 = 2,052.52 : x
  2. Step 2: Convert to fraction form
    3,697/5,542.98 = 2,052.52/x
  3. Step 3: Cross multiply
    3,697x = 5,542.98 × 2,052.52
  4. Step 4: Simplify right side
    3,697x = 11,377,077.31
  5. Step 5: Solve for x
    x = 11,377,077.31/3,697
  6. Step 6: Final answer
    x = 3,077.38

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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.