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Finding the Fourth Proportional to 3,775.44, 5,657.68 and 2,128.48

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Solution

The fourth proportional to 3,775.44, 5,657.68 and 2,128.48 is: 3,189.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.44 : 5,657.68 = 2,128.48 : x
  2. Step 2: Convert to fraction form
    3,775.44/5,657.68 = 2,128.48/x
  3. Step 3: Cross multiply
    3,775.44x = 5,657.68 × 2,128.48
  4. Step 4: Simplify right side
    3,775.44x = 12,042,258.73
  5. Step 5: Solve for x
    x = 12,042,258.73/3,775.44
  6. Step 6: Final answer
    x = 3,189.63

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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.