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Finding the Fourth Proportional to 3,213.54, 4,820.28 and 2,568.38

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Solution

The fourth proportional to 3,213.54, 4,820.28 and 2,568.38 is: 3,852.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.54 : 4,820.28 = 2,568.38 : x
  2. Step 2: Convert to fraction form
    3,213.54/4,820.28 = 2,568.38/x
  3. Step 3: Cross multiply
    3,213.54x = 4,820.28 × 2,568.38
  4. Step 4: Simplify right side
    3,213.54x = 12,380,310.75
  5. Step 5: Solve for x
    x = 12,380,310.75/3,213.54
  6. Step 6: Final answer
    x = 3,852.55

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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.