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Finding the Fourth Proportional to 5,202.84, 7,179.94 and 3,212.94

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Solution

The fourth proportional to 5,202.84, 7,179.94 and 3,212.94 is: 4,433.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.84 : 7,179.94 = 3,212.94 : x
  2. Step 2: Convert to fraction form
    5,202.84/7,179.94 = 3,212.94/x
  3. Step 3: Cross multiply
    5,202.84x = 7,179.94 × 3,212.94
  4. Step 4: Simplify right side
    5,202.84x = 23,068,716.42
  5. Step 5: Solve for x
    x = 23,068,716.42/5,202.84
  6. Step 6: Final answer
    x = 4,433.87

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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.