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Finding the Fourth Proportional to 3,461.40, 5,192.97 and 996.23

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Solution

The fourth proportional to 3,461.40, 5,192.97 and 996.23 is: 1,494.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.40 : 5,192.97 = 996.23 : x
  2. Step 2: Convert to fraction form
    3,461.40/5,192.97 = 996.23/x
  3. Step 3: Cross multiply
    3,461.40x = 5,192.97 × 996.23
  4. Step 4: Simplify right side
    3,461.40x = 5,173,366.54
  5. Step 5: Solve for x
    x = 5,173,366.54/3,461.40
  6. Step 6: Final answer
    x = 1,494.59

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1.5x scale

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.