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Finding the Fourth Proportional to 3,489.35, 5,234.09 and 1,639.44

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Solution

The fourth proportional to 3,489.35, 5,234.09 and 1,639.44 is: 2,459.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.35 : 5,234.09 = 1,639.44 : x
  2. Step 2: Convert to fraction form
    3,489.35/5,234.09 = 1,639.44/x
  3. Step 3: Cross multiply
    3,489.35x = 5,234.09 × 1,639.44
  4. Step 4: Simplify right side
    3,489.35x = 8,580,968.31
  5. Step 5: Solve for x
    x = 8,580,968.31/3,489.35
  6. Step 6: Final answer
    x = 2,459.19

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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.