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Finding the Fourth Proportional to 4,206, 5,794.62 and 3,321.48

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Solution

The fourth proportional to 4,206, 5,794.62 and 3,321.48 is: 4,576.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206 : 5,794.62 = 3,321.48 : x
  2. Step 2: Convert to fraction form
    4,206/5,794.62 = 3,321.48/x
  3. Step 3: Cross multiply
    4,206x = 5,794.62 × 3,321.48
  4. Step 4: Simplify right side
    4,206x = 19,246,714.44
  5. Step 5: Solve for x
    x = 19,246,714.44/4,206
  6. Step 6: Final answer
    x = 4,576.01

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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.