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Finding the Fourth Proportional to 3,841.56, 5,761.26 and 2,616.84

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Solution

The fourth proportional to 3,841.56, 5,761.26 and 2,616.84 is: 3,924.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.56 : 5,761.26 = 2,616.84 : x
  2. Step 2: Convert to fraction form
    3,841.56/5,761.26 = 2,616.84/x
  3. Step 3: Cross multiply
    3,841.56x = 5,761.26 × 2,616.84
  4. Step 4: Simplify right side
    3,841.56x = 15,076,295.62
  5. Step 5: Solve for x
    x = 15,076,295.62/3,841.56
  6. Step 6: Final answer
    x = 3,924.52

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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.