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Finding the Fourth Proportional to 3,843.28, 5,300.46 and 3,097

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Solution

The fourth proportional to 3,843.28, 5,300.46 and 3,097 is: 4,271.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.28 : 5,300.46 = 3,097 : x
  2. Step 2: Convert to fraction form
    3,843.28/5,300.46 = 3,097/x
  3. Step 3: Cross multiply
    3,843.28x = 5,300.46 × 3,097
  4. Step 4: Simplify right side
    3,843.28x = 16,415,524.62
  5. Step 5: Solve for x
    x = 16,415,524.62/3,843.28
  6. Step 6: Final answer
    x = 4,271.23

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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.