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Finding the Fourth Proportional to 3,408.30, 5,112.48 and 1,763.87

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Solution

The fourth proportional to 3,408.30, 5,112.48 and 1,763.87 is: 2,645.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.30 : 5,112.48 = 1,763.87 : x
  2. Step 2: Convert to fraction form
    3,408.30/5,112.48 = 1,763.87/x
  3. Step 3: Cross multiply
    3,408.30x = 5,112.48 × 1,763.87
  4. Step 4: Simplify right side
    3,408.30x = 9,017,724.54
  5. Step 5: Solve for x
    x = 9,017,724.54/3,408.30
  6. Step 6: Final answer
    x = 2,645.81

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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.