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Finding the Fourth Proportional to 3,662.39, 5,489.70 and 1,196.54

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Solution

The fourth proportional to 3,662.39, 5,489.70 and 1,196.54 is: 1,793.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.39 : 5,489.70 = 1,196.54 : x
  2. Step 2: Convert to fraction form
    3,662.39/5,489.70 = 1,196.54/x
  3. Step 3: Cross multiply
    3,662.39x = 5,489.70 × 1,196.54
  4. Step 4: Simplify right side
    3,662.39x = 6,568,618.19
  5. Step 5: Solve for x
    x = 6,568,618.19/3,662.39
  6. Step 6: Final answer
    x = 1,793.54

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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.