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Finding the Fourth Proportional to 3,781.40, 5,675.70 and 3,234.20

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Solution

The fourth proportional to 3,781.40, 5,675.70 and 3,234.20 is: 4,854.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.40 : 5,675.70 = 3,234.20 : x
  2. Step 2: Convert to fraction form
    3,781.40/5,675.70 = 3,234.20/x
  3. Step 3: Cross multiply
    3,781.40x = 5,675.70 × 3,234.20
  4. Step 4: Simplify right side
    3,781.40x = 18,356,348.94
  5. Step 5: Solve for x
    x = 18,356,348.94/3,781.40
  6. Step 6: Final answer
    x = 4,854.38

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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.