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Finding the Fourth Proportional to 3,965.22, 5,471.73 and 2,196.66

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Solution

The fourth proportional to 3,965.22, 5,471.73 and 2,196.66 is: 3,031.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.22 : 5,471.73 = 2,196.66 : x
  2. Step 2: Convert to fraction form
    3,965.22/5,471.73 = 2,196.66/x
  3. Step 3: Cross multiply
    3,965.22x = 5,471.73 × 2,196.66
  4. Step 4: Simplify right side
    3,965.22x = 12,019,530.42
  5. Step 5: Solve for x
    x = 12,019,530.42/3,965.22
  6. Step 6: Final answer
    x = 3,031.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.