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Finding the Fourth Proportional to 3,796.08, 5,697.68 and 2,338.08

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Solution

The fourth proportional to 3,796.08, 5,697.68 and 2,338.08 is: 3,509.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.08 : 5,697.68 = 2,338.08 : x
  2. Step 2: Convert to fraction form
    3,796.08/5,697.68 = 2,338.08/x
  3. Step 3: Cross multiply
    3,796.08x = 5,697.68 × 2,338.08
  4. Step 4: Simplify right side
    3,796.08x = 13,321,631.65
  5. Step 5: Solve for x
    x = 13,321,631.65/3,796.08
  6. Step 6: Final answer
    x = 3,509.31

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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.