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Finding the Fourth Proportional to 3,768.12, 5,193.72 and 3,454.32

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Solution

The fourth proportional to 3,768.12, 5,193.72 and 3,454.32 is: 4,761.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.12 : 5,193.72 = 3,454.32 : x
  2. Step 2: Convert to fraction form
    3,768.12/5,193.72 = 3,454.32/x
  3. Step 3: Cross multiply
    3,768.12x = 5,193.72 × 3,454.32
  4. Step 4: Simplify right side
    3,768.12x = 17,940,770.87
  5. Step 5: Solve for x
    x = 17,940,770.87/3,768.12
  6. Step 6: Final answer
    x = 4,761.20

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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.