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Finding the Fourth Proportional to 5,992.86, 8,269.98 and 3,440.54

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Solution

The fourth proportional to 5,992.86, 8,269.98 and 3,440.54 is: 4,747.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,992.86 : 8,269.98 = 3,440.54 : x
  2. Step 2: Convert to fraction form
    5,992.86/8,269.98 = 3,440.54/x
  3. Step 3: Cross multiply
    5,992.86x = 8,269.98 × 3,440.54
  4. Step 4: Simplify right side
    5,992.86x = 28,453,191.18
  5. Step 5: Solve for x
    x = 28,453,191.18/5,992.86
  6. Step 6: Final answer
    x = 4,747.85

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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.