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Finding the Fourth Proportional to 4,290.75, 6,431.85 and 3,826.62

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Solution

The fourth proportional to 4,290.75, 6,431.85 and 3,826.62 is: 5,736.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,290.75 : 6,431.85 = 3,826.62 : x
  2. Step 2: Convert to fraction form
    4,290.75/6,431.85 = 3,826.62/x
  3. Step 3: Cross multiply
    4,290.75x = 6,431.85 × 3,826.62
  4. Step 4: Simplify right side
    4,290.75x = 24,612,245.85
  5. Step 5: Solve for x
    x = 24,612,245.85/4,290.75
  6. Step 6: Final answer
    x = 5,736.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.