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Finding the Fourth Proportional to 4,841.70, 6,682.62 and 3,072.97

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Solution

The fourth proportional to 4,841.70, 6,682.62 and 3,072.97 is: 4,241.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,841.70 : 6,682.62 = 3,072.97 : x
  2. Step 2: Convert to fraction form
    4,841.70/6,682.62 = 3,072.97/x
  3. Step 3: Cross multiply
    4,841.70x = 6,682.62 × 3,072.97
  4. Step 4: Simplify right side
    4,841.70x = 20,535,490.78
  5. Step 5: Solve for x
    x = 20,535,490.78/4,841.70
  6. Step 6: Final answer
    x = 4,241.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.