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Finding the Fourth Proportional to 5,157.74, 7,729.68 and 2,814.24

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Solution

The fourth proportional to 5,157.74, 7,729.68 and 2,814.24 is: 4,217.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.74 : 7,729.68 = 2,814.24 : x
  2. Step 2: Convert to fraction form
    5,157.74/7,729.68 = 2,814.24/x
  3. Step 3: Cross multiply
    5,157.74x = 7,729.68 × 2,814.24
  4. Step 4: Simplify right side
    5,157.74x = 21,753,170.70
  5. Step 5: Solve for x
    x = 21,753,170.70/5,157.74
  6. Step 6: Final answer
    x = 4,217.58

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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.