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Finding the Fourth Proportional to 3,825.38, 5,739.02 and 1,228.32

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Solution

The fourth proportional to 3,825.38, 5,739.02 and 1,228.32 is: 1,842.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.38 : 5,739.02 = 1,228.32 : x
  2. Step 2: Convert to fraction form
    3,825.38/5,739.02 = 1,228.32/x
  3. Step 3: Cross multiply
    3,825.38x = 5,739.02 × 1,228.32
  4. Step 4: Simplify right side
    3,825.38x = 7,049,346.90
  5. Step 5: Solve for x
    x = 7,049,346.90/3,825.38
  6. Step 6: Final answer
    x = 1,842.79

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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.