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Finding the Fourth Proportional to 5,616.27, 8,413.56 and 3,143.57

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Solution

The fourth proportional to 5,616.27, 8,413.56 and 3,143.57 is: 4,709.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.27 : 8,413.56 = 3,143.57 : x
  2. Step 2: Convert to fraction form
    5,616.27/8,413.56 = 3,143.57/x
  3. Step 3: Cross multiply
    5,616.27x = 8,413.56 × 3,143.57
  4. Step 4: Simplify right side
    5,616.27x = 26,448,572.74
  5. Step 5: Solve for x
    x = 26,448,572.74/5,616.27
  6. Step 6: Final answer
    x = 4,709.28

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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.