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Finding the Fourth Proportional to 3,825.40, 5,738.10 and 3,679.60

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Solution

The fourth proportional to 3,825.40, 5,738.10 and 3,679.60 is: 5,519.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.40 : 5,738.10 = 3,679.60 : x
  2. Step 2: Convert to fraction form
    3,825.40/5,738.10 = 3,679.60/x
  3. Step 3: Cross multiply
    3,825.40x = 5,738.10 × 3,679.60
  4. Step 4: Simplify right side
    3,825.40x = 21,113,912.76
  5. Step 5: Solve for x
    x = 21,113,912.76/3,825.40
  6. Step 6: Final answer
    x = 5,519.40

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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.