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Finding the Fourth Proportional to 4,180.80, 5,770.16 and 3,741.12

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Solution

The fourth proportional to 4,180.80, 5,770.16 and 3,741.12 is: 5,163.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180.80 : 5,770.16 = 3,741.12 : x
  2. Step 2: Convert to fraction form
    4,180.80/5,770.16 = 3,741.12/x
  3. Step 3: Cross multiply
    4,180.80x = 5,770.16 × 3,741.12
  4. Step 4: Simplify right side
    4,180.80x = 21,586,860.98
  5. Step 5: Solve for x
    x = 21,586,860.98/4,180.80
  6. Step 6: Final answer
    x = 5,163.33

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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.