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Finding the Fourth Proportional to 3,662.42, 5,494.78 and 1,197.26

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Solution

The fourth proportional to 3,662.42, 5,494.78 and 1,197.26 is: 1,796.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.42 : 5,494.78 = 1,197.26 : x
  2. Step 2: Convert to fraction form
    3,662.42/5,494.78 = 1,197.26/x
  3. Step 3: Cross multiply
    3,662.42x = 5,494.78 × 1,197.26
  4. Step 4: Simplify right side
    3,662.42x = 6,578,680.30
  5. Step 5: Solve for x
    x = 6,578,680.30/3,662.42
  6. Step 6: Final answer
    x = 1,796.27

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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.