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Finding the Fourth Proportional to 5,184.90, 7,149.62 and 3,413.43

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Solution

The fourth proportional to 5,184.90, 7,149.62 and 3,413.43 is: 4,706.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184.90 : 7,149.62 = 3,413.43 : x
  2. Step 2: Convert to fraction form
    5,184.90/7,149.62 = 3,413.43/x
  3. Step 3: Cross multiply
    5,184.90x = 7,149.62 × 3,413.43
  4. Step 4: Simplify right side
    5,184.90x = 24,404,710.33
  5. Step 5: Solve for x
    x = 24,404,710.33/5,184.90
  6. Step 6: Final answer
    x = 4,706.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.