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Finding the Fourth Proportional to 3,408.90, 5,114.33 and 1,217.79

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Solution

The fourth proportional to 3,408.90, 5,114.33 and 1,217.79 is: 1,827.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.90 : 5,114.33 = 1,217.79 : x
  2. Step 2: Convert to fraction form
    3,408.90/5,114.33 = 1,217.79/x
  3. Step 3: Cross multiply
    3,408.90x = 5,114.33 × 1,217.79
  4. Step 4: Simplify right side
    3,408.90x = 6,228,179.93
  5. Step 5: Solve for x
    x = 6,228,179.93/3,408.90
  6. Step 6: Final answer
    x = 1,827.04

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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.