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Finding the Fourth Proportional to 5,493.98, 8,243.12 and 2,413.82

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Solution

The fourth proportional to 5,493.98, 8,243.12 and 2,413.82 is: 3,621.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.98 : 8,243.12 = 2,413.82 : x
  2. Step 2: Convert to fraction form
    5,493.98/8,243.12 = 2,413.82/x
  3. Step 3: Cross multiply
    5,493.98x = 8,243.12 × 2,413.82
  4. Step 4: Simplify right side
    5,493.98x = 19,897,407.92
  5. Step 5: Solve for x
    x = 19,897,407.92/5,493.98
  6. Step 6: Final answer
    x = 3,621.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.