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Finding the Fourth Proportional to 3,865.28, 5,797.32 and 1,268.20

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Solution

The fourth proportional to 3,865.28, 5,797.32 and 1,268.20 is: 1,902.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.28 : 5,797.32 = 1,268.20 : x
  2. Step 2: Convert to fraction form
    3,865.28/5,797.32 = 1,268.20/x
  3. Step 3: Cross multiply
    3,865.28x = 5,797.32 × 1,268.20
  4. Step 4: Simplify right side
    3,865.28x = 7,352,161.22
  5. Step 5: Solve for x
    x = 7,352,161.22/3,865.28
  6. Step 6: Final answer
    x = 1,902.10

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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.