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Finding the Fourth Proportional to 3,761.49, 5,181.57 and 3,200.16

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Solution

The fourth proportional to 3,761.49, 5,181.57 and 3,200.16 is: 4,408.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.49 : 5,181.57 = 3,200.16 : x
  2. Step 2: Convert to fraction form
    3,761.49/5,181.57 = 3,200.16/x
  3. Step 3: Cross multiply
    3,761.49x = 5,181.57 × 3,200.16
  4. Step 4: Simplify right side
    3,761.49x = 16,581,853.05
  5. Step 5: Solve for x
    x = 16,581,853.05/3,761.49
  6. Step 6: Final answer
    x = 4,408.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.