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Finding the Fourth Proportional to 3,408.39, 5,115.32 and 1,765.41

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Solution

The fourth proportional to 3,408.39, 5,115.32 and 1,765.41 is: 2,649.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.39 : 5,115.32 = 1,765.41 : x
  2. Step 2: Convert to fraction form
    3,408.39/5,115.32 = 1,765.41/x
  3. Step 3: Cross multiply
    3,408.39x = 5,115.32 × 1,765.41
  4. Step 4: Simplify right side
    3,408.39x = 9,030,628.25
  5. Step 5: Solve for x
    x = 9,030,628.25/3,408.39
  6. Step 6: Final answer
    x = 2,649.53

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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.