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Finding the Fourth Proportional to 3,752.82, 5,175.02 and 3,223.46

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Solution

The fourth proportional to 3,752.82, 5,175.02 and 3,223.46 is: 4,445.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.82 : 5,175.02 = 3,223.46 : x
  2. Step 2: Convert to fraction form
    3,752.82/5,175.02 = 3,223.46/x
  3. Step 3: Cross multiply
    3,752.82x = 5,175.02 × 3,223.46
  4. Step 4: Simplify right side
    3,752.82x = 16,681,469.97
  5. Step 5: Solve for x
    x = 16,681,469.97/3,752.82
  6. Step 6: Final answer
    x = 4,445.05

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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.