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Finding the Fourth Proportional to 3,738.05, 5,162.03 and 3,203.85

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Solution

The fourth proportional to 3,738.05, 5,162.03 and 3,203.85 is: 4,424.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.05 : 5,162.03 = 3,203.85 : x
  2. Step 2: Convert to fraction form
    3,738.05/5,162.03 = 3,203.85/x
  3. Step 3: Cross multiply
    3,738.05x = 5,162.03 × 3,203.85
  4. Step 4: Simplify right side
    3,738.05x = 16,538,385.17
  5. Step 5: Solve for x
    x = 16,538,385.17/3,738.05
  6. Step 6: Final answer
    x = 4,424.34

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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.