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Finding the Fourth Proportional to 4,635.83, 6,946.09 and 3,403.73

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Solution

The fourth proportional to 4,635.83, 6,946.09 and 3,403.73 is: 5,099.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,635.83 : 6,946.09 = 3,403.73 : x
  2. Step 2: Convert to fraction form
    4,635.83/6,946.09 = 3,403.73/x
  3. Step 3: Cross multiply
    4,635.83x = 6,946.09 × 3,403.73
  4. Step 4: Simplify right side
    4,635.83x = 23,642,614.92
  5. Step 5: Solve for x
    x = 23,642,614.92/4,635.83
  6. Step 6: Final answer
    x = 5,099.97

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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.