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Finding the Fourth Proportional to 3,608.34, 5,414.91 and 1,268.34

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Solution

The fourth proportional to 3,608.34, 5,414.91 and 1,268.34 is: 1,903.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.34 : 5,414.91 = 1,268.34 : x
  2. Step 2: Convert to fraction form
    3,608.34/5,414.91 = 1,268.34/x
  3. Step 3: Cross multiply
    3,608.34x = 5,414.91 × 1,268.34
  4. Step 4: Simplify right side
    3,608.34x = 6,867,946.95
  5. Step 5: Solve for x
    x = 6,867,946.95/3,608.34
  6. Step 6: Final answer
    x = 1,903.35

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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.