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Finding the Fourth Proportional to 3,863.30, 5,796.02 and 1,268.06

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Solution

The fourth proportional to 3,863.30, 5,796.02 and 1,268.06 is: 1,902.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.30 : 5,796.02 = 1,268.06 : x
  2. Step 2: Convert to fraction form
    3,863.30/5,796.02 = 1,268.06/x
  3. Step 3: Cross multiply
    3,863.30x = 5,796.02 × 1,268.06
  4. Step 4: Simplify right side
    3,863.30x = 7,349,675.31
  5. Step 5: Solve for x
    x = 7,349,675.31/3,863.30
  6. Step 6: Final answer
    x = 1,902.44

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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.