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Finding the Fourth Proportional to 4,137.35, 6,202.35 and 1,538.46

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Solution

The fourth proportional to 4,137.35, 6,202.35 and 1,538.46 is: 2,306.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.35 : 6,202.35 = 1,538.46 : x
  2. Step 2: Convert to fraction form
    4,137.35/6,202.35 = 1,538.46/x
  3. Step 3: Cross multiply
    4,137.35x = 6,202.35 × 1,538.46
  4. Step 4: Simplify right side
    4,137.35x = 9,542,067.38
  5. Step 5: Solve for x
    x = 9,542,067.38/4,137.35
  6. Step 6: Final answer
    x = 2,306.33

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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.