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Finding the Fourth Proportional to 3,676.34, 5,073.36 and 1,997.77

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Solution

The fourth proportional to 3,676.34, 5,073.36 and 1,997.77 is: 2,756.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.34 : 5,073.36 = 1,997.77 : x
  2. Step 2: Convert to fraction form
    3,676.34/5,073.36 = 1,997.77/x
  3. Step 3: Cross multiply
    3,676.34x = 5,073.36 × 1,997.77
  4. Step 4: Simplify right side
    3,676.34x = 10,135,371.05
  5. Step 5: Solve for x
    x = 10,135,371.05/3,676.34
  6. Step 6: Final answer
    x = 2,756.92

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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.