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Finding the Fourth Proportional to 3,408.52, 5,114.23 and 1,766.22

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Solution

The fourth proportional to 3,408.52, 5,114.23 and 1,766.22 is: 2,650.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.52 : 5,114.23 = 1,766.22 : x
  2. Step 2: Convert to fraction form
    3,408.52/5,114.23 = 1,766.22/x
  3. Step 3: Cross multiply
    3,408.52x = 5,114.23 × 1,766.22
  4. Step 4: Simplify right side
    3,408.52x = 9,032,855.31
  5. Step 5: Solve for x
    x = 9,032,855.31/3,408.52
  6. Step 6: Final answer
    x = 2,650.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.