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Finding the Fourth Proportional to 4,771.73, 7,157.90 and 1,484.96

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Solution

The fourth proportional to 4,771.73, 7,157.90 and 1,484.96 is: 2,227.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.73 : 7,157.90 = 1,484.96 : x
  2. Step 2: Convert to fraction form
    4,771.73/7,157.90 = 1,484.96/x
  3. Step 3: Cross multiply
    4,771.73x = 7,157.90 × 1,484.96
  4. Step 4: Simplify right side
    4,771.73x = 10,629,163.11
  5. Step 5: Solve for x
    x = 10,629,163.11/4,771.73
  6. Step 6: Final answer
    x = 2,227.53

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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.