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Finding the Fourth Proportional to 3,971.48, 5,957.22 and 1,198.16

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Solution

The fourth proportional to 3,971.48, 5,957.22 and 1,198.16 is: 1,797.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.48 : 5,957.22 = 1,198.16 : x
  2. Step 2: Convert to fraction form
    3,971.48/5,957.22 = 1,198.16/x
  3. Step 3: Cross multiply
    3,971.48x = 5,957.22 × 1,198.16
  4. Step 4: Simplify right side
    3,971.48x = 7,137,702.72
  5. Step 5: Solve for x
    x = 7,137,702.72/3,971.48
  6. Step 6: Final answer
    x = 1,797.24

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Similar ratio
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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.