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Finding the Fourth Proportional to 3,676.33, 5,073.28 and 1,997.65

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Solution

The fourth proportional to 3,676.33, 5,073.28 and 1,997.65 is: 2,756.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.33 : 5,073.28 = 1,997.65 : x
  2. Step 2: Convert to fraction form
    3,676.33/5,073.28 = 1,997.65/x
  3. Step 3: Cross multiply
    3,676.33x = 5,073.28 × 1,997.65
  4. Step 4: Simplify right side
    3,676.33x = 10,134,664.64
  5. Step 5: Solve for x
    x = 10,134,664.64/3,676.33
  6. Step 6: Final answer
    x = 2,756.74

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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.