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Finding the Fourth Proportional to 3,797.64, 5,696.22 and 1,202.28

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Solution

The fourth proportional to 3,797.64, 5,696.22 and 1,202.28 is: 1,803.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.64 : 5,696.22 = 1,202.28 : x
  2. Step 2: Convert to fraction form
    3,797.64/5,696.22 = 1,202.28/x
  3. Step 3: Cross multiply
    3,797.64x = 5,696.22 × 1,202.28
  4. Step 4: Simplify right side
    3,797.64x = 6,848,451.38
  5. Step 5: Solve for x
    x = 6,848,451.38/3,797.64
  6. Step 6: Final answer
    x = 1,803.34

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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.