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Finding the Fourth Proportional to 3,745.49, 5,168.82 and 2,066.96

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Solution

The fourth proportional to 3,745.49, 5,168.82 and 2,066.96 is: 2,852.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.49 : 5,168.82 = 2,066.96 : x
  2. Step 2: Convert to fraction form
    3,745.49/5,168.82 = 2,066.96/x
  3. Step 3: Cross multiply
    3,745.49x = 5,168.82 × 2,066.96
  4. Step 4: Simplify right side
    3,745.49x = 10,683,733.85
  5. Step 5: Solve for x
    x = 10,683,733.85/3,745.49
  6. Step 6: Final answer
    x = 2,852.43

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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.