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Finding the Fourth Proportional to 3,348.29, 5,023.17 and 1,268.31

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Solution

The fourth proportional to 3,348.29, 5,023.17 and 1,268.31 is: 1,902.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,348.29 : 5,023.17 = 1,268.31 : x
  2. Step 2: Convert to fraction form
    3,348.29/5,023.17 = 1,268.31/x
  3. Step 3: Cross multiply
    3,348.29x = 5,023.17 × 1,268.31
  4. Step 4: Simplify right side
    3,348.29x = 6,370,936.74
  5. Step 5: Solve for x
    x = 6,370,936.74/3,348.29
  6. Step 6: Final answer
    x = 1,902.74

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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.