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Finding the Fourth Proportional to 3,494.60, 5,234.86 and 1,617.85

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Solution

The fourth proportional to 3,494.60, 5,234.86 and 1,617.85 is: 2,423.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.60 : 5,234.86 = 1,617.85 : x
  2. Step 2: Convert to fraction form
    3,494.60/5,234.86 = 1,617.85/x
  3. Step 3: Cross multiply
    3,494.60x = 5,234.86 × 1,617.85
  4. Step 4: Simplify right side
    3,494.60x = 8,469,218.25
  5. Step 5: Solve for x
    x = 8,469,218.25/3,494.60
  6. Step 6: Final answer
    x = 2,423.52

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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.