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Finding the Fourth Proportional to 5,971.44, 8,246.12 and 5,086.92

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Solution

The fourth proportional to 5,971.44, 8,246.12 and 5,086.92 is: 7,024.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.44 : 8,246.12 = 5,086.92 : x
  2. Step 2: Convert to fraction form
    5,971.44/8,246.12 = 5,086.92/x
  3. Step 3: Cross multiply
    5,971.44x = 8,246.12 × 5,086.92
  4. Step 4: Simplify right side
    5,971.44x = 41,947,352.75
  5. Step 5: Solve for x
    x = 41,947,352.75/5,971.44
  6. Step 6: Final answer
    x = 7,024.66

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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.