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Finding the Fourth Proportional to 3,703.92, 5,563.08 and 3,183.76

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Solution

The fourth proportional to 3,703.92, 5,563.08 and 3,183.76 is: 4,781.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.92 : 5,563.08 = 3,183.76 : x
  2. Step 2: Convert to fraction form
    3,703.92/5,563.08 = 3,183.76/x
  3. Step 3: Cross multiply
    3,703.92x = 5,563.08 × 3,183.76
  4. Step 4: Simplify right side
    3,703.92x = 17,711,511.58
  5. Step 5: Solve for x
    x = 17,711,511.58/3,703.92
  6. Step 6: Final answer
    x = 4,781.83

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1.5x scale

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.