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Finding the Fourth Proportional to 5,741.82, 8,607.46 and 2,234.18

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Solution

The fourth proportional to 5,741.82, 8,607.46 and 2,234.18 is: 3,349.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.82 : 8,607.46 = 2,234.18 : x
  2. Step 2: Convert to fraction form
    5,741.82/8,607.46 = 2,234.18/x
  3. Step 3: Cross multiply
    5,741.82x = 8,607.46 × 2,234.18
  4. Step 4: Simplify right side
    5,741.82x = 19,230,614.98
  5. Step 5: Solve for x
    x = 19,230,614.98/5,741.82
  6. Step 6: Final answer
    x = 3,349.22

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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.