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Finding the Fourth Proportional to 3,458.68, 5,188.44 and 1,268.44

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Solution

The fourth proportional to 3,458.68, 5,188.44 and 1,268.44 is: 1,902.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.68 : 5,188.44 = 1,268.44 : x
  2. Step 2: Convert to fraction form
    3,458.68/5,188.44 = 1,268.44/x
  3. Step 3: Cross multiply
    3,458.68x = 5,188.44 × 1,268.44
  4. Step 4: Simplify right side
    3,458.68x = 6,581,224.83
  5. Step 5: Solve for x
    x = 6,581,224.83/3,458.68
  6. Step 6: Final answer
    x = 1,902.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.