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Finding the Fourth Proportional to 3,829.87, 5,745.12 and 1,638.62

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Solution

The fourth proportional to 3,829.87, 5,745.12 and 1,638.62 is: 2,458.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.87 : 5,745.12 = 1,638.62 : x
  2. Step 2: Convert to fraction form
    3,829.87/5,745.12 = 1,638.62/x
  3. Step 3: Cross multiply
    3,829.87x = 5,745.12 × 1,638.62
  4. Step 4: Simplify right side
    3,829.87x = 9,414,031.62
  5. Step 5: Solve for x
    x = 9,414,031.62/3,829.87
  6. Step 6: Final answer
    x = 2,458.06

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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.