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Finding the Fourth Proportional to 5,874.41, 8,106.81 and 3,221.96

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Solution

The fourth proportional to 5,874.41, 8,106.81 and 3,221.96 is: 4,446.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.41 : 8,106.81 = 3,221.96 : x
  2. Step 2: Convert to fraction form
    5,874.41/8,106.81 = 3,221.96/x
  3. Step 3: Cross multiply
    5,874.41x = 8,106.81 × 3,221.96
  4. Step 4: Simplify right side
    5,874.41x = 26,119,777.01
  5. Step 5: Solve for x
    x = 26,119,777.01/5,874.41
  6. Step 6: Final answer
    x = 4,446.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.