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Finding the Fourth Proportional to 3,796.09, 5,697.69 and 2,338.09

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Solution

The fourth proportional to 3,796.09, 5,697.69 and 2,338.09 is: 3,509.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.09 : 5,697.69 = 2,338.09 : x
  2. Step 2: Convert to fraction form
    3,796.09/5,697.69 = 2,338.09/x
  3. Step 3: Cross multiply
    3,796.09x = 5,697.69 × 2,338.09
  4. Step 4: Simplify right side
    3,796.09x = 13,321,712.01
  5. Step 5: Solve for x
    x = 13,321,712.01/3,796.09
  6. Step 6: Final answer
    x = 3,509.32

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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.