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Finding the Fourth Proportional to 3,841.21, 5,761 and 1,243.54

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Solution

The fourth proportional to 3,841.21, 5,761 and 1,243.54 is: 1,865.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.21 : 5,761 = 1,243.54 : x
  2. Step 2: Convert to fraction form
    3,841.21/5,761 = 1,243.54/x
  3. Step 3: Cross multiply
    3,841.21x = 5,761 × 1,243.54
  4. Step 4: Simplify right side
    3,841.21x = 7,164,033.94
  5. Step 5: Solve for x
    x = 7,164,033.94/3,841.21
  6. Step 6: Final answer
    x = 1,865.05

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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.