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Finding the Fourth Proportional to 5,991.86, 8,260.70 and 4,196.94

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Solution

The fourth proportional to 5,991.86, 8,260.70 and 4,196.94 is: 5,786.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,991.86 : 8,260.70 = 4,196.94 : x
  2. Step 2: Convert to fraction form
    5,991.86/8,260.70 = 4,196.94/x
  3. Step 3: Cross multiply
    5,991.86x = 8,260.70 × 4,196.94
  4. Step 4: Simplify right side
    5,991.86x = 34,669,662.26
  5. Step 5: Solve for x
    x = 34,669,662.26/5,991.86
  6. Step 6: Final answer
    x = 5,786.13

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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.