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Finding the Fourth Proportional to 3,793.92, 5,683.20 and 2,964.48

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Solution

The fourth proportional to 3,793.92, 5,683.20 and 2,964.48 is: 4,440.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.92 : 5,683.20 = 2,964.48 : x
  2. Step 2: Convert to fraction form
    3,793.92/5,683.20 = 2,964.48/x
  3. Step 3: Cross multiply
    3,793.92x = 5,683.20 × 2,964.48
  4. Step 4: Simplify right side
    3,793.92x = 16,847,732.74
  5. Step 5: Solve for x
    x = 16,847,732.74/3,793.92
  6. Step 6: Final answer
    x = 4,440.72

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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.