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Finding the Fourth Proportional to 4,268.34, 5,893 and 3,271.76

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Solution

The fourth proportional to 4,268.34, 5,893 and 3,271.76 is: 4,517.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,268.34 : 5,893 = 3,271.76 : x
  2. Step 2: Convert to fraction form
    4,268.34/5,893 = 3,271.76/x
  3. Step 3: Cross multiply
    4,268.34x = 5,893 × 3,271.76
  4. Step 4: Simplify right side
    4,268.34x = 19,280,481.68
  5. Step 5: Solve for x
    x = 19,280,481.68/4,268.34
  6. Step 6: Final answer
    x = 4,517.09

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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.