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Finding the Fourth Proportional to 3,469.96, 5,191.12 and 3,013.12

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Solution

The fourth proportional to 3,469.96, 5,191.12 and 3,013.12 is: 4,507.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.96 : 5,191.12 = 3,013.12 : x
  2. Step 2: Convert to fraction form
    3,469.96/5,191.12 = 3,013.12/x
  3. Step 3: Cross multiply
    3,469.96x = 5,191.12 × 3,013.12
  4. Step 4: Simplify right side
    3,469.96x = 15,641,467.49
  5. Step 5: Solve for x
    x = 15,641,467.49/3,469.96
  6. Step 6: Final answer
    x = 4,507.68

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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.