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Finding the Fourth Proportional to 3,408.08, 5,107.64 and 1,353.68

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Solution

The fourth proportional to 3,408.08, 5,107.64 and 1,353.68 is: 2,028.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.08 : 5,107.64 = 1,353.68 : x
  2. Step 2: Convert to fraction form
    3,408.08/5,107.64 = 1,353.68/x
  3. Step 3: Cross multiply
    3,408.08x = 5,107.64 × 1,353.68
  4. Step 4: Simplify right side
    3,408.08x = 6,914,110.12
  5. Step 5: Solve for x
    x = 6,914,110.12/3,408.08
  6. Step 6: Final answer
    x = 2,028.74

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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.