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Finding the Fourth Proportional to 5,256.70, 7,257.92 and 3,268.15

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Solution

The fourth proportional to 5,256.70, 7,257.92 and 3,268.15 is: 4,512.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.70 : 7,257.92 = 3,268.15 : x
  2. Step 2: Convert to fraction form
    5,256.70/7,257.92 = 3,268.15/x
  3. Step 3: Cross multiply
    5,256.70x = 7,257.92 × 3,268.15
  4. Step 4: Simplify right side
    5,256.70x = 23,719,936.76
  5. Step 5: Solve for x
    x = 23,719,936.76/5,256.70
  6. Step 6: Final answer
    x = 4,512.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.