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Finding the Fourth Proportional to 5,615.99, 8,413.03 and 3,419.27

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Solution

The fourth proportional to 5,615.99, 8,413.03 and 3,419.27 is: 5,122.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.99 : 8,413.03 = 3,419.27 : x
  2. Step 2: Convert to fraction form
    5,615.99/8,413.03 = 3,419.27/x
  3. Step 3: Cross multiply
    5,615.99x = 8,413.03 × 3,419.27
  4. Step 4: Simplify right side
    5,615.99x = 28,766,421.09
  5. Step 5: Solve for x
    x = 28,766,421.09/5,615.99
  6. Step 6: Final answer
    x = 5,122.24

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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.