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Finding the Fourth Proportional to 3,662.92, 5,494.56 and 1,197.78

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Solution

The fourth proportional to 3,662.92, 5,494.56 and 1,197.78 is: 1,796.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.92 : 5,494.56 = 1,197.78 : x
  2. Step 2: Convert to fraction form
    3,662.92/5,494.56 = 1,197.78/x
  3. Step 3: Cross multiply
    3,662.92x = 5,494.56 × 1,197.78
  4. Step 4: Simplify right side
    3,662.92x = 6,581,274.08
  5. Step 5: Solve for x
    x = 6,581,274.08/3,662.92
  6. Step 6: Final answer
    x = 1,796.73

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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.