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Finding the Fourth Proportional to 5,193.92, 7,790.83 and 4,149.02

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Solution

The fourth proportional to 5,193.92, 7,790.83 and 4,149.02 is: 6,223.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.92 : 7,790.83 = 4,149.02 : x
  2. Step 2: Convert to fraction form
    5,193.92/7,790.83 = 4,149.02/x
  3. Step 3: Cross multiply
    5,193.92x = 7,790.83 × 4,149.02
  4. Step 4: Simplify right side
    5,193.92x = 32,324,289.38
  5. Step 5: Solve for x
    x = 32,324,289.38/5,193.92
  6. Step 6: Final answer
    x = 6,223.49

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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.