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Finding the Fourth Proportional to 3,800.44, 5,701.60 and 1,852.20

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Solution

The fourth proportional to 3,800.44, 5,701.60 and 1,852.20 is: 2,778.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.44 : 5,701.60 = 1,852.20 : x
  2. Step 2: Convert to fraction form
    3,800.44/5,701.60 = 1,852.20/x
  3. Step 3: Cross multiply
    3,800.44x = 5,701.60 × 1,852.20
  4. Step 4: Simplify right side
    3,800.44x = 10,560,503.52
  5. Step 5: Solve for x
    x = 10,560,503.52/3,800.44
  6. Step 6: Final answer
    x = 2,778.76

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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.