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Finding the Fourth Proportional to 6,192, 8,545.20 and 3,539.52

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Solution

The fourth proportional to 6,192, 8,545.20 and 3,539.52 is: 4,884.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192 : 8,545.20 = 3,539.52 : x
  2. Step 2: Convert to fraction form
    6,192/8,545.20 = 3,539.52/x
  3. Step 3: Cross multiply
    6,192x = 8,545.20 × 3,539.52
  4. Step 4: Simplify right side
    6,192x = 30,245,906.30
  5. Step 5: Solve for x
    x = 30,245,906.30/6,192
  6. Step 6: Final answer
    x = 4,884.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.