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Finding the Fourth Proportional to 3,675.95, 5,072.90 and 1,997.33

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Solution

The fourth proportional to 3,675.95, 5,072.90 and 1,997.33 is: 2,756.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.95 : 5,072.90 = 1,997.33 : x
  2. Step 2: Convert to fraction form
    3,675.95/5,072.90 = 1,997.33/x
  3. Step 3: Cross multiply
    3,675.95x = 5,072.90 × 1,997.33
  4. Step 4: Simplify right side
    3,675.95x = 10,132,258.05
  5. Step 5: Solve for x
    x = 10,132,258.05/3,675.95
  6. Step 6: Final answer
    x = 2,756.37

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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.