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Finding the Fourth Proportional to 4,770.24, 7,157.76 and 3,228

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Solution

The fourth proportional to 4,770.24, 7,157.76 and 3,228 is: 4,843.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.24 : 7,157.76 = 3,228 : x
  2. Step 2: Convert to fraction form
    4,770.24/7,157.76 = 3,228/x
  3. Step 3: Cross multiply
    4,770.24x = 7,157.76 × 3,228
  4. Step 4: Simplify right side
    4,770.24x = 23,105,249.28
  5. Step 5: Solve for x
    x = 23,105,249.28/4,770.24
  6. Step 6: Final answer
    x = 4,843.62

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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.