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Finding the Fourth Proportional to 4,161.96, 6,244.74 and 2,211.88

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Solution

The fourth proportional to 4,161.96, 6,244.74 and 2,211.88 is: 3,318.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.96 : 6,244.74 = 2,211.88 : x
  2. Step 2: Convert to fraction form
    4,161.96/6,244.74 = 2,211.88/x
  3. Step 3: Cross multiply
    4,161.96x = 6,244.74 × 2,211.88
  4. Step 4: Simplify right side
    4,161.96x = 13,812,615.51
  5. Step 5: Solve for x
    x = 13,812,615.51/4,161.96
  6. Step 6: Final answer
    x = 3,318.78

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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.