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Finding the Fourth Proportional to 3,408.90, 5,114.12 and 1,217.63

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Solution

The fourth proportional to 3,408.90, 5,114.12 and 1,217.63 is: 1,826.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.90 : 5,114.12 = 1,217.63 : x
  2. Step 2: Convert to fraction form
    3,408.90/5,114.12 = 1,217.63/x
  3. Step 3: Cross multiply
    3,408.90x = 5,114.12 × 1,217.63
  4. Step 4: Simplify right side
    3,408.90x = 6,227,074.28
  5. Step 5: Solve for x
    x = 6,227,074.28/3,408.90
  6. Step 6: Final answer
    x = 1,826.71

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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.