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Finding the Fourth Proportional to 3,546.39, 4,893.99 and 1,974.45

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Solution

The fourth proportional to 3,546.39, 4,893.99 and 1,974.45 is: 2,724.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.39 : 4,893.99 = 1,974.45 : x
  2. Step 2: Convert to fraction form
    3,546.39/4,893.99 = 1,974.45/x
  3. Step 3: Cross multiply
    3,546.39x = 4,893.99 × 1,974.45
  4. Step 4: Simplify right side
    3,546.39x = 9,662,938.56
  5. Step 5: Solve for x
    x = 9,662,938.56/3,546.39
  6. Step 6: Final answer
    x = 2,724.73

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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.