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Finding the Fourth Proportional to 3,676.62, 5,509.44 and 2,850.96

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Solution

The fourth proportional to 3,676.62, 5,509.44 and 2,850.96 is: 4,272.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.62 : 5,509.44 = 2,850.96 : x
  2. Step 2: Convert to fraction form
    3,676.62/5,509.44 = 2,850.96/x
  3. Step 3: Cross multiply
    3,676.62x = 5,509.44 × 2,850.96
  4. Step 4: Simplify right side
    3,676.62x = 15,707,193.06
  5. Step 5: Solve for x
    x = 15,707,193.06/3,676.62
  6. Step 6: Final answer
    x = 4,272.18

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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.