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Finding the Fourth Proportional to 4,561.74, 6,843.52 and 1,442.22

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Solution

The fourth proportional to 4,561.74, 6,843.52 and 1,442.22 is: 2,163.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.74 : 6,843.52 = 1,442.22 : x
  2. Step 2: Convert to fraction form
    4,561.74/6,843.52 = 1,442.22/x
  3. Step 3: Cross multiply
    4,561.74x = 6,843.52 × 1,442.22
  4. Step 4: Simplify right side
    4,561.74x = 9,869,861.41
  5. Step 5: Solve for x
    x = 9,869,861.41/4,561.74
  6. Step 6: Final answer
    x = 2,163.62

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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.