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Finding the Fourth Proportional to 5,986.81, 8,260.77 and 3,469.24

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Solution

The fourth proportional to 5,986.81, 8,260.77 and 3,469.24 is: 4,786.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.81 : 8,260.77 = 3,469.24 : x
  2. Step 2: Convert to fraction form
    5,986.81/8,260.77 = 3,469.24/x
  3. Step 3: Cross multiply
    5,986.81x = 8,260.77 × 3,469.24
  4. Step 4: Simplify right side
    5,986.81x = 28,658,593.71
  5. Step 5: Solve for x
    x = 28,658,593.71/5,986.81
  6. Step 6: Final answer
    x = 4,786.96

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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.