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Finding the Fourth Proportional to 4,234.56, 5,841.90 and 2,662.08

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Solution

The fourth proportional to 4,234.56, 5,841.90 and 2,662.08 is: 3,672.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.56 : 5,841.90 = 2,662.08 : x
  2. Step 2: Convert to fraction form
    4,234.56/5,841.90 = 2,662.08/x
  3. Step 3: Cross multiply
    4,234.56x = 5,841.90 × 2,662.08
  4. Step 4: Simplify right side
    4,234.56x = 15,551,605.15
  5. Step 5: Solve for x
    x = 15,551,605.15/4,234.56
  6. Step 6: Final answer
    x = 3,672.54

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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.