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Finding the Fourth Proportional to 4,106.97, 5,661.97 and 3,098.23

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Solution

The fourth proportional to 4,106.97, 5,661.97 and 3,098.23 is: 4,271.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106.97 : 5,661.97 = 3,098.23 : x
  2. Step 2: Convert to fraction form
    4,106.97/5,661.97 = 3,098.23/x
  3. Step 3: Cross multiply
    4,106.97x = 5,661.97 × 3,098.23
  4. Step 4: Simplify right side
    4,106.97x = 17,542,063.41
  5. Step 5: Solve for x
    x = 17,542,063.41/4,106.97
  6. Step 6: Final answer
    x = 4,271.29

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1.5x scale

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.