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Finding the Fourth Proportional to 3,861.96, 5,794.02 and 1,520.52

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Solution

The fourth proportional to 3,861.96, 5,794.02 and 1,520.52 is: 2,281.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.96 : 5,794.02 = 1,520.52 : x
  2. Step 2: Convert to fraction form
    3,861.96/5,794.02 = 1,520.52/x
  3. Step 3: Cross multiply
    3,861.96x = 5,794.02 × 1,520.52
  4. Step 4: Simplify right side
    3,861.96x = 8,809,923.29
  5. Step 5: Solve for x
    x = 8,809,923.29/3,861.96
  6. Step 6: Final answer
    x = 2,281.21

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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.