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Finding the Fourth Proportional to 3,768.21, 5,651.96 and 2,543.49

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Solution

The fourth proportional to 3,768.21, 5,651.96 and 2,543.49 is: 3,814.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.21 : 5,651.96 = 2,543.49 : x
  2. Step 2: Convert to fraction form
    3,768.21/5,651.96 = 2,543.49/x
  3. Step 3: Cross multiply
    3,768.21x = 5,651.96 × 2,543.49
  4. Step 4: Simplify right side
    3,768.21x = 14,375,691.02
  5. Step 5: Solve for x
    x = 14,375,691.02/3,768.21
  6. Step 6: Final answer
    x = 3,814.99

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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.