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Finding the Fourth Proportional to 3,775.26, 5,209.74 and 2,096.76

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Solution

The fourth proportional to 3,775.26, 5,209.74 and 2,096.76 is: 2,893.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.26 : 5,209.74 = 2,096.76 : x
  2. Step 2: Convert to fraction form
    3,775.26/5,209.74 = 2,096.76/x
  3. Step 3: Cross multiply
    3,775.26x = 5,209.74 × 2,096.76
  4. Step 4: Simplify right side
    3,775.26x = 10,923,574.44
  5. Step 5: Solve for x
    x = 10,923,574.44/3,775.26
  6. Step 6: Final answer
    x = 2,893.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.