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Finding the Fourth Proportional to 3,675.37, 5,071.97 and 1,996.74

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Solution

The fourth proportional to 3,675.37, 5,071.97 and 1,996.74 is: 2,755.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.37 : 5,071.97 = 1,996.74 : x
  2. Step 2: Convert to fraction form
    3,675.37/5,071.97 = 1,996.74/x
  3. Step 3: Cross multiply
    3,675.37x = 5,071.97 × 1,996.74
  4. Step 4: Simplify right side
    3,675.37x = 10,127,395.39
  5. Step 5: Solve for x
    x = 10,127,395.39/3,675.37
  6. Step 6: Final answer
    x = 2,755.48

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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.