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Finding the Fourth Proportional to 3,408.59, 5,109.44 and 1,327.30

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Solution

The fourth proportional to 3,408.59, 5,109.44 and 1,327.30 is: 1,989.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.59 : 5,109.44 = 1,327.30 : x
  2. Step 2: Convert to fraction form
    3,408.59/5,109.44 = 1,327.30/x
  3. Step 3: Cross multiply
    3,408.59x = 5,109.44 × 1,327.30
  4. Step 4: Simplify right side
    3,408.59x = 6,781,727.53
  5. Step 5: Solve for x
    x = 6,781,727.53/3,408.59
  6. Step 6: Final answer
    x = 1,989.60

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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.