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Finding the Fourth Proportional to 5,993.12, 8,274.96 and 3,638.44

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Solution

The fourth proportional to 5,993.12, 8,274.96 and 3,638.44 is: 5,023.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.12 : 8,274.96 = 3,638.44 : x
  2. Step 2: Convert to fraction form
    5,993.12/8,274.96 = 3,638.44/x
  3. Step 3: Cross multiply
    5,993.12x = 8,274.96 × 3,638.44
  4. Step 4: Simplify right side
    5,993.12x = 30,107,945.46
  5. Step 5: Solve for x
    x = 30,107,945.46/5,993.12
  6. Step 6: Final answer
    x = 5,023.75

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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.