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Finding the Fourth Proportional to 3,268.06, 4,902.16 and 959.56

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Solution

The fourth proportional to 3,268.06, 4,902.16 and 959.56 is: 1,439.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268.06 : 4,902.16 = 959.56 : x
  2. Step 2: Convert to fraction form
    3,268.06/4,902.16 = 959.56/x
  3. Step 3: Cross multiply
    3,268.06x = 4,902.16 × 959.56
  4. Step 4: Simplify right side
    3,268.06x = 4,703,916.65
  5. Step 5: Solve for x
    x = 4,703,916.65/3,268.06
  6. Step 6: Final answer
    x = 1,439.36

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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.