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Finding the Fourth Proportional to 3,829.61, 5,745.56 and 3,168.50

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Solution

The fourth proportional to 3,829.61, 5,745.56 and 3,168.50 is: 4,753.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.61 : 5,745.56 = 3,168.50 : x
  2. Step 2: Convert to fraction form
    3,829.61/5,745.56 = 3,168.50/x
  3. Step 3: Cross multiply
    3,829.61x = 5,745.56 × 3,168.50
  4. Step 4: Simplify right side
    3,829.61x = 18,204,806.86
  5. Step 5: Solve for x
    x = 18,204,806.86/3,829.61
  6. Step 6: Final answer
    x = 4,753.70

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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.