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Finding the Fourth Proportional to 3,675.86, 5,072.70 and 1,997.28

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Solution

The fourth proportional to 3,675.86, 5,072.70 and 1,997.28 is: 2,756.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.86 : 5,072.70 = 1,997.28 : x
  2. Step 2: Convert to fraction form
    3,675.86/5,072.70 = 1,997.28/x
  3. Step 3: Cross multiply
    3,675.86x = 5,072.70 × 1,997.28
  4. Step 4: Simplify right side
    3,675.86x = 10,131,602.26
  5. Step 5: Solve for x
    x = 10,131,602.26/3,675.86
  6. Step 6: Final answer
    x = 2,756.25

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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.