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Finding the Fourth Proportional to 5,615.34, 8,413.38 and 3,969.18

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Solution

The fourth proportional to 5,615.34, 8,413.38 and 3,969.18 is: 5,946.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.34 : 8,413.38 = 3,969.18 : x
  2. Step 2: Convert to fraction form
    5,615.34/8,413.38 = 3,969.18/x
  3. Step 3: Cross multiply
    5,615.34x = 8,413.38 × 3,969.18
  4. Step 4: Simplify right side
    5,615.34x = 33,394,219.63
  5. Step 5: Solve for x
    x = 33,394,219.63/5,615.34
  6. Step 6: Final answer
    x = 5,946.96

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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.