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Finding the Fourth Proportional to 3,942.48, 5,441.13 and 3,278.19

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Solution

The fourth proportional to 3,942.48, 5,441.13 and 3,278.19 is: 4,524.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.48 : 5,441.13 = 3,278.19 : x
  2. Step 2: Convert to fraction form
    3,942.48/5,441.13 = 3,278.19/x
  3. Step 3: Cross multiply
    3,942.48x = 5,441.13 × 3,278.19
  4. Step 4: Simplify right side
    3,942.48x = 17,837,057.95
  5. Step 5: Solve for x
    x = 17,837,057.95/3,942.48
  6. Step 6: Final answer
    x = 4,524.32

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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.