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Finding the Fourth Proportional to 3,797.28, 5,685.12 and 2,494.80

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Solution

The fourth proportional to 3,797.28, 5,685.12 and 2,494.80 is: 3,735.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.28 : 5,685.12 = 2,494.80 : x
  2. Step 2: Convert to fraction form
    3,797.28/5,685.12 = 2,494.80/x
  3. Step 3: Cross multiply
    3,797.28x = 5,685.12 × 2,494.80
  4. Step 4: Simplify right side
    3,797.28x = 14,183,237.38
  5. Step 5: Solve for x
    x = 14,183,237.38/3,797.28
  6. Step 6: Final answer
    x = 3,735.10

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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.