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Finding the Fourth Proportional to 3,418.83, 5,101.42 and 3,209.85

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Solution

The fourth proportional to 3,418.83, 5,101.42 and 3,209.85 is: 4,789.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.83 : 5,101.42 = 3,209.85 : x
  2. Step 2: Convert to fraction form
    3,418.83/5,101.42 = 3,209.85/x
  3. Step 3: Cross multiply
    3,418.83x = 5,101.42 × 3,209.85
  4. Step 4: Simplify right side
    3,418.83x = 16,374,789.69
  5. Step 5: Solve for x
    x = 16,374,789.69/3,418.83
  6. Step 6: Final answer
    x = 4,789.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.