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Finding the Fourth Proportional to 5,738.69, 8,608.12 and 3,270.57

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Solution

The fourth proportional to 5,738.69, 8,608.12 and 3,270.57 is: 4,905.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.69 : 8,608.12 = 3,270.57 : x
  2. Step 2: Convert to fraction form
    5,738.69/8,608.12 = 3,270.57/x
  3. Step 3: Cross multiply
    5,738.69x = 8,608.12 × 3,270.57
  4. Step 4: Simplify right side
    5,738.69x = 28,153,442.68
  5. Step 5: Solve for x
    x = 28,153,442.68/5,738.69
  6. Step 6: Final answer
    x = 4,905.90

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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.