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Finding the Fourth Proportional to 3,965.97, 5,949.09 and 1,500.20

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Solution

The fourth proportional to 3,965.97, 5,949.09 and 1,500.20 is: 2,250.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.97 : 5,949.09 = 1,500.20 : x
  2. Step 2: Convert to fraction form
    3,965.97/5,949.09 = 1,500.20/x
  3. Step 3: Cross multiply
    3,965.97x = 5,949.09 × 1,500.20
  4. Step 4: Simplify right side
    3,965.97x = 8,924,795.07
  5. Step 5: Solve for x
    x = 8,924,795.07/3,965.97
  6. Step 6: Final answer
    x = 2,250.34

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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.