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Finding the Fourth Proportional to 4,811.31, 7,217.22 and 1,524.15

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Solution

The fourth proportional to 4,811.31, 7,217.22 and 1,524.15 is: 2,286.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,811.31 : 7,217.22 = 1,524.15 : x
  2. Step 2: Convert to fraction form
    4,811.31/7,217.22 = 1,524.15/x
  3. Step 3: Cross multiply
    4,811.31x = 7,217.22 × 1,524.15
  4. Step 4: Simplify right side
    4,811.31x = 11,000,125.86
  5. Step 5: Solve for x
    x = 11,000,125.86/4,811.31
  6. Step 6: Final answer
    x = 2,286.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.