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Finding the Fourth Proportional to 3,797.44, 5,696.44 and 1,331.40

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Solution

The fourth proportional to 3,797.44, 5,696.44 and 1,331.40 is: 1,997.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.44 : 5,696.44 = 1,331.40 : x
  2. Step 2: Convert to fraction form
    3,797.44/5,696.44 = 1,331.40/x
  3. Step 3: Cross multiply
    3,797.44x = 5,696.44 × 1,331.40
  4. Step 4: Simplify right side
    3,797.44x = 7,584,240.22
  5. Step 5: Solve for x
    x = 7,584,240.22/3,797.44
  6. Step 6: Final answer
    x = 1,997.20

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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.