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Finding the Fourth Proportional to 5,496.45, 8,229.12 and 4,977.42

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Solution

The fourth proportional to 5,496.45, 8,229.12 and 4,977.42 is: 7,452.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.45 : 8,229.12 = 4,977.42 : x
  2. Step 2: Convert to fraction form
    5,496.45/8,229.12 = 4,977.42/x
  3. Step 3: Cross multiply
    5,496.45x = 8,229.12 × 4,977.42
  4. Step 4: Simplify right side
    5,496.45x = 40,959,786.47
  5. Step 5: Solve for x
    x = 40,959,786.47/5,496.45
  6. Step 6: Final answer
    x = 7,452.04

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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.