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Finding the Fourth Proportional to 4,568.78, 6,856.50 and 3,531.38

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Solution

The fourth proportional to 4,568.78, 6,856.50 and 3,531.38 is: 5,299.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568.78 : 6,856.50 = 3,531.38 : x
  2. Step 2: Convert to fraction form
    4,568.78/6,856.50 = 3,531.38/x
  3. Step 3: Cross multiply
    4,568.78x = 6,856.50 × 3,531.38
  4. Step 4: Simplify right side
    4,568.78x = 24,212,906.97
  5. Step 5: Solve for x
    x = 24,212,906.97/4,568.78
  6. Step 6: Final answer
    x = 5,299.64

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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.