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Finding the Fourth Proportional to 4,466.64, 6,706.09 and 3,949.97

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Solution

The fourth proportional to 4,466.64, 6,706.09 and 3,949.97 is: 5,930.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.64 : 6,706.09 = 3,949.97 : x
  2. Step 2: Convert to fraction form
    4,466.64/6,706.09 = 3,949.97/x
  3. Step 3: Cross multiply
    4,466.64x = 6,706.09 × 3,949.97
  4. Step 4: Simplify right side
    4,466.64x = 26,488,825.72
  5. Step 5: Solve for x
    x = 26,488,825.72/4,466.64
  6. Step 6: Final answer
    x = 5,930.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.