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Finding the Fourth Proportional to 3,294.24, 4,934.34 and 3,202.44

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Solution

The fourth proportional to 3,294.24, 4,934.34 and 3,202.44 is: 4,796.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.24 : 4,934.34 = 3,202.44 : x
  2. Step 2: Convert to fraction form
    3,294.24/4,934.34 = 3,202.44/x
  3. Step 3: Cross multiply
    3,294.24x = 4,934.34 × 3,202.44
  4. Step 4: Simplify right side
    3,294.24x = 15,801,927.79
  5. Step 5: Solve for x
    x = 15,801,927.79/3,294.24
  6. Step 6: Final answer
    x = 4,796.84

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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.