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Finding the Fourth Proportional to 5,469.96, 8,191.87 and 2,830.37

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Solution

The fourth proportional to 5,469.96, 8,191.87 and 2,830.37 is: 4,238.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.96 : 8,191.87 = 2,830.37 : x
  2. Step 2: Convert to fraction form
    5,469.96/8,191.87 = 2,830.37/x
  3. Step 3: Cross multiply
    5,469.96x = 8,191.87 × 2,830.37
  4. Step 4: Simplify right side
    5,469.96x = 23,186,002.61
  5. Step 5: Solve for x
    x = 23,186,002.61/5,469.96
  6. Step 6: Final answer
    x = 4,238.79

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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.