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Finding the Fourth Proportional to 3,971.84, 5,957.46 and 1,198.44

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Solution

The fourth proportional to 3,971.84, 5,957.46 and 1,198.44 is: 1,797.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.84 : 5,957.46 = 1,198.44 : x
  2. Step 2: Convert to fraction form
    3,971.84/5,957.46 = 1,198.44/x
  3. Step 3: Cross multiply
    3,971.84x = 5,957.46 × 1,198.44
  4. Step 4: Simplify right side
    3,971.84x = 7,139,658.36
  5. Step 5: Solve for x
    x = 7,139,658.36/3,971.84
  6. Step 6: Final answer
    x = 1,797.57

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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.