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Finding the Fourth Proportional to 3,827.37, 5,741.52 and 2,841.41

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Solution

The fourth proportional to 3,827.37, 5,741.52 and 2,841.41 is: 4,262.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.37 : 5,741.52 = 2,841.41 : x
  2. Step 2: Convert to fraction form
    3,827.37/5,741.52 = 2,841.41/x
  3. Step 3: Cross multiply
    3,827.37x = 5,741.52 × 2,841.41
  4. Step 4: Simplify right side
    3,827.37x = 16,313,983.64
  5. Step 5: Solve for x
    x = 16,313,983.64/3,827.37
  6. Step 6: Final answer
    x = 4,262.45

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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.