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Finding the Fourth Proportional to 3,838.56, 5,753.28 and 2,196.24

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Solution

The fourth proportional to 3,838.56, 5,753.28 and 2,196.24 is: 3,291.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.56 : 5,753.28 = 2,196.24 : x
  2. Step 2: Convert to fraction form
    3,838.56/5,753.28 = 2,196.24/x
  3. Step 3: Cross multiply
    3,838.56x = 5,753.28 × 2,196.24
  4. Step 4: Simplify right side
    3,838.56x = 12,635,583.67
  5. Step 5: Solve for x
    x = 12,635,583.67/3,838.56
  6. Step 6: Final answer
    x = 3,291.75

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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.