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Finding the Fourth Proportional to 4,694.70, 6,477.62 and 2,805.97

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Solution

The fourth proportional to 4,694.70, 6,477.62 and 2,805.97 is: 3,871.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.70 : 6,477.62 = 2,805.97 : x
  2. Step 2: Convert to fraction form
    4,694.70/6,477.62 = 2,805.97/x
  3. Step 3: Cross multiply
    4,694.70x = 6,477.62 × 2,805.97
  4. Step 4: Simplify right side
    4,694.70x = 18,175,986.88
  5. Step 5: Solve for x
    x = 18,175,986.88/4,694.70
  6. Step 6: Final answer
    x = 3,871.59

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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.