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Finding the Fourth Proportional to 5,729.78, 7,906.71 and 3,211.46

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Solution

The fourth proportional to 5,729.78, 7,906.71 and 3,211.46 is: 4,431.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.78 : 7,906.71 = 3,211.46 : x
  2. Step 2: Convert to fraction form
    5,729.78/7,906.71 = 3,211.46/x
  3. Step 3: Cross multiply
    5,729.78x = 7,906.71 × 3,211.46
  4. Step 4: Simplify right side
    5,729.78x = 25,392,082.90
  5. Step 5: Solve for x
    x = 25,392,082.90/5,729.78
  6. Step 6: Final answer
    x = 4,431.60

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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.