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Finding the Fourth Proportional to 3,825.70, 5,738.55 and 1,228.30

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Solution

The fourth proportional to 3,825.70, 5,738.55 and 1,228.30 is: 1,842.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.70 : 5,738.55 = 1,228.30 : x
  2. Step 2: Convert to fraction form
    3,825.70/5,738.55 = 1,228.30/x
  3. Step 3: Cross multiply
    3,825.70x = 5,738.55 × 1,228.30
  4. Step 4: Simplify right side
    3,825.70x = 7,048,660.97
  5. Step 5: Solve for x
    x = 7,048,660.97/3,825.70
  6. Step 6: Final answer
    x = 1,842.45

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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.