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Finding the Fourth Proportional to 5,683.14, 8,519.20 and 2,911.12

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Solution

The fourth proportional to 5,683.14, 8,519.20 and 2,911.12 is: 4,363.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.14 : 8,519.20 = 2,911.12 : x
  2. Step 2: Convert to fraction form
    5,683.14/8,519.20 = 2,911.12/x
  3. Step 3: Cross multiply
    5,683.14x = 8,519.20 × 2,911.12
  4. Step 4: Simplify right side
    5,683.14x = 24,800,413.50
  5. Step 5: Solve for x
    x = 24,800,413.50/5,683.14
  6. Step 6: Final answer
    x = 4,363.86

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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.