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Finding the Fourth Proportional to 4,296.27, 6,446.81 and 2,321.86

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Solution

The fourth proportional to 4,296.27, 6,446.81 and 2,321.86 is: 3,484.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.27 : 6,446.81 = 2,321.86 : x
  2. Step 2: Convert to fraction form
    4,296.27/6,446.81 = 2,321.86/x
  3. Step 3: Cross multiply
    4,296.27x = 6,446.81 × 2,321.86
  4. Step 4: Simplify right side
    4,296.27x = 14,968,590.27
  5. Step 5: Solve for x
    x = 14,968,590.27/4,296.27
  6. Step 6: Final answer
    x = 3,484.09

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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.