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Finding the Fourth Proportional to 3,841.68, 5,753.28 and 2,193.23

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Solution

The fourth proportional to 3,841.68, 5,753.28 and 2,193.23 is: 3,284.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.68 : 5,753.28 = 2,193.23 : x
  2. Step 2: Convert to fraction form
    3,841.68/5,753.28 = 2,193.23/x
  3. Step 3: Cross multiply
    3,841.68x = 5,753.28 × 2,193.23
  4. Step 4: Simplify right side
    3,841.68x = 12,618,244.20
  5. Step 5: Solve for x
    x = 12,618,244.20/3,841.68
  6. Step 6: Final answer
    x = 3,284.57

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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.