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Finding the Fourth Proportional to 3,781.22, 5,672.27 and 1,007.98

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Solution

The fourth proportional to 3,781.22, 5,672.27 and 1,007.98 is: 1,512.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.22 : 5,672.27 = 1,007.98 : x
  2. Step 2: Convert to fraction form
    3,781.22/5,672.27 = 1,007.98/x
  3. Step 3: Cross multiply
    3,781.22x = 5,672.27 × 1,007.98
  4. Step 4: Simplify right side
    3,781.22x = 5,717,523.05
  5. Step 5: Solve for x
    x = 5,717,523.05/3,781.22
  6. Step 6: Final answer
    x = 1,512.09

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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.