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Finding the Fourth Proportional to 3,796.30, 5,696.10 and 2,039.25

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Solution

The fourth proportional to 3,796.30, 5,696.10 and 2,039.25 is: 3,059.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.30 : 5,696.10 = 2,039.25 : x
  2. Step 2: Convert to fraction form
    3,796.30/5,696.10 = 2,039.25/x
  3. Step 3: Cross multiply
    3,796.30x = 5,696.10 × 2,039.25
  4. Step 4: Simplify right side
    3,796.30x = 11,615,775.97
  5. Step 5: Solve for x
    x = 11,615,775.97/3,796.30
  6. Step 6: Final answer
    x = 3,059.76

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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.