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Finding the Fourth Proportional to 3,486.62, 4,791.06 and 2,786.78

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Solution

The fourth proportional to 3,486.62, 4,791.06 and 2,786.78 is: 3,829.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.62 : 4,791.06 = 2,786.78 : x
  2. Step 2: Convert to fraction form
    3,486.62/4,791.06 = 2,786.78/x
  3. Step 3: Cross multiply
    3,486.62x = 4,791.06 × 2,786.78
  4. Step 4: Simplify right side
    3,486.62x = 13,351,630.19
  5. Step 5: Solve for x
    x = 13,351,630.19/3,486.62
  6. Step 6: Final answer
    x = 3,829.39

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.