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Finding the Fourth Proportional to 3,546.20, 4,893.72 and 1,974.20

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Solution

The fourth proportional to 3,546.20, 4,893.72 and 1,974.20 is: 2,724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.20 : 4,893.72 = 1,974.20 : x
  2. Step 2: Convert to fraction form
    3,546.20/4,893.72 = 1,974.20/x
  3. Step 3: Cross multiply
    3,546.20x = 4,893.72 × 1,974.20
  4. Step 4: Simplify right side
    3,546.20x = 9,661,182.02
  5. Step 5: Solve for x
    x = 9,661,182.02/3,546.20
  6. Step 6: Final answer
    x = 2,724.38

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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.