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Finding the Fourth Proportional to 4,694.31, 6,479.60 and 2,706.20

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Solution

The fourth proportional to 4,694.31, 6,479.60 and 2,706.20 is: 3,735.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.31 : 6,479.60 = 2,706.20 : x
  2. Step 2: Convert to fraction form
    4,694.31/6,479.60 = 2,706.20/x
  3. Step 3: Cross multiply
    4,694.31x = 6,479.60 × 2,706.20
  4. Step 4: Simplify right side
    4,694.31x = 17,535,063.79
  5. Step 5: Solve for x
    x = 17,535,063.79/4,694.31
  6. Step 6: Final answer
    x = 3,735.38

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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.