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Finding the Fourth Proportional to 3,986.67, 5,980.10 and 1,213.23

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Solution

The fourth proportional to 3,986.67, 5,980.10 and 1,213.23 is: 1,819.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.67 : 5,980.10 = 1,213.23 : x
  2. Step 2: Convert to fraction form
    3,986.67/5,980.10 = 1,213.23/x
  3. Step 3: Cross multiply
    3,986.67x = 5,980.10 × 1,213.23
  4. Step 4: Simplify right side
    3,986.67x = 7,255,230.66
  5. Step 5: Solve for x
    x = 7,255,230.66/3,986.67
  6. Step 6: Final answer
    x = 1,819.87

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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.