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Finding the Fourth Proportional to 4,213.58, 6,317.24 and 2,020.22

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Solution

The fourth proportional to 4,213.58, 6,317.24 and 2,020.22 is: 3,028.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213.58 : 6,317.24 = 2,020.22 : x
  2. Step 2: Convert to fraction form
    4,213.58/6,317.24 = 2,020.22/x
  3. Step 3: Cross multiply
    4,213.58x = 6,317.24 × 2,020.22
  4. Step 4: Simplify right side
    4,213.58x = 12,762,214.59
  5. Step 5: Solve for x
    x = 12,762,214.59/4,213.58
  6. Step 6: Final answer
    x = 3,028.83

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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.