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Finding the Fourth Proportional to 3,609.66, 5,414.64 and 1,144.42

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Solution

The fourth proportional to 3,609.66, 5,414.64 and 1,144.42 is: 1,716.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.66 : 5,414.64 = 1,144.42 : x
  2. Step 2: Convert to fraction form
    3,609.66/5,414.64 = 1,144.42/x
  3. Step 3: Cross multiply
    3,609.66x = 5,414.64 × 1,144.42
  4. Step 4: Simplify right side
    3,609.66x = 6,196,622.31
  5. Step 5: Solve for x
    x = 6,196,622.31/3,609.66
  6. Step 6: Final answer
    x = 1,716.68

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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.