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Finding the Fourth Proportional to 4,811.25, 7,217.08 and 1,524.27

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Solution

The fourth proportional to 4,811.25, 7,217.08 and 1,524.27 is: 2,286.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,811.25 : 7,217.08 = 1,524.27 : x
  2. Step 2: Convert to fraction form
    4,811.25/7,217.08 = 1,524.27/x
  3. Step 3: Cross multiply
    4,811.25x = 7,217.08 × 1,524.27
  4. Step 4: Simplify right side
    4,811.25x = 11,000,770.91
  5. Step 5: Solve for x
    x = 11,000,770.91/4,811.25
  6. Step 6: Final answer
    x = 2,286.47

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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.