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Finding the Fourth Proportional to 3,408.39, 5,112.61 and 1,099.89

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Solution

The fourth proportional to 3,408.39, 5,112.61 and 1,099.89 is: 1,649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.39 : 5,112.61 = 1,099.89 : x
  2. Step 2: Convert to fraction form
    3,408.39/5,112.61 = 1,099.89/x
  3. Step 3: Cross multiply
    3,408.39x = 5,112.61 × 1,099.89
  4. Step 4: Simplify right side
    3,408.39x = 5,623,305.86
  5. Step 5: Solve for x
    x = 5,623,305.86/3,408.39
  6. Step 6: Final answer
    x = 1,649.84

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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.