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Finding the Fourth Proportional to 3,489.08, 5,234.61 and 1,408.82

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Solution

The fourth proportional to 3,489.08, 5,234.61 and 1,408.82 is: 2,113.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.08 : 5,234.61 = 1,408.82 : x
  2. Step 2: Convert to fraction form
    3,489.08/5,234.61 = 1,408.82/x
  3. Step 3: Cross multiply
    3,489.08x = 5,234.61 × 1,408.82
  4. Step 4: Simplify right side
    3,489.08x = 7,374,623.26
  5. Step 5: Solve for x
    x = 7,374,623.26/3,489.08
  6. Step 6: Final answer
    x = 2,113.63

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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.