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Finding the Fourth Proportional to 3,825.72, 5,738.67 and 1,228.68

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Solution

The fourth proportional to 3,825.72, 5,738.67 and 1,228.68 is: 1,843.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.72 : 5,738.67 = 1,228.68 : x
  2. Step 2: Convert to fraction form
    3,825.72/5,738.67 = 1,228.68/x
  3. Step 3: Cross multiply
    3,825.72x = 5,738.67 × 1,228.68
  4. Step 4: Simplify right side
    3,825.72x = 7,050,989.06
  5. Step 5: Solve for x
    x = 7,050,989.06/3,825.72
  6. Step 6: Final answer
    x = 1,843.05

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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.