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Finding the Fourth Proportional to 3,971.46, 5,957.98 and 1,198.00

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Solution

The fourth proportional to 3,971.46, 5,957.98 and 1,198.00 is: 1,797.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.46 : 5,957.98 = 1,198.00 : x
  2. Step 2: Convert to fraction form
    3,971.46/5,957.98 = 1,198.00/x
  3. Step 3: Cross multiply
    3,971.46x = 5,957.98 × 1,198.00
  4. Step 4: Simplify right side
    3,971.46x = 7,137,642.15
  5. Step 5: Solve for x
    x = 7,137,642.15/3,971.46
  6. Step 6: Final answer
    x = 1,797.23

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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.