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Finding the Fourth Proportional to 4,196.73, 6,296.58 and 2,349.44

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Solution

The fourth proportional to 4,196.73, 6,296.58 and 2,349.44 is: 3,524.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.73 : 6,296.58 = 2,349.44 : x
  2. Step 2: Convert to fraction form
    4,196.73/6,296.58 = 2,349.44/x
  3. Step 3: Cross multiply
    4,196.73x = 6,296.58 × 2,349.44
  4. Step 4: Simplify right side
    4,196.73x = 14,793,436.92
  5. Step 5: Solve for x
    x = 14,793,436.92/4,196.73
  6. Step 6: Final answer
    x = 3,524.99

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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.