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Finding the Fourth Proportional to 5,413.99, 8,121.39 and 1,518.25

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Solution

The fourth proportional to 5,413.99, 8,121.39 and 1,518.25 is: 2,277.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.99 : 8,121.39 = 1,518.25 : x
  2. Step 2: Convert to fraction form
    5,413.99/8,121.39 = 1,518.25/x
  3. Step 3: Cross multiply
    5,413.99x = 8,121.39 × 1,518.25
  4. Step 4: Simplify right side
    5,413.99x = 12,330,300.37
  5. Step 5: Solve for x
    x = 12,330,300.37/5,413.99
  6. Step 6: Final answer
    x = 2,277.49

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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.