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Finding the Fourth Proportional to 3,836.40, 5,753.22 and 1,463.96

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Solution

The fourth proportional to 3,836.40, 5,753.22 and 1,463.96 is: 2,195.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.40 : 5,753.22 = 1,463.96 : x
  2. Step 2: Convert to fraction form
    3,836.40/5,753.22 = 1,463.96/x
  3. Step 3: Cross multiply
    3,836.40x = 5,753.22 × 1,463.96
  4. Step 4: Simplify right side
    3,836.40x = 8,422,483.95
  5. Step 5: Solve for x
    x = 8,422,483.95/3,836.40
  6. Step 6: Final answer
    x = 2,195.41

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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.