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Finding the Fourth Proportional to 5,786.69, 8,677.44 and 3,447.79

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Solution

The fourth proportional to 5,786.69, 8,677.44 and 3,447.79 is: 5,170.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.69 : 8,677.44 = 3,447.79 : x
  2. Step 2: Convert to fraction form
    5,786.69/8,677.44 = 3,447.79/x
  3. Step 3: Cross multiply
    5,786.69x = 8,677.44 × 3,447.79
  4. Step 4: Simplify right side
    5,786.69x = 29,917,997.19
  5. Step 5: Solve for x
    x = 29,917,997.19/5,786.69
  6. Step 6: Final answer
    x = 5,170.14

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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.