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Finding the Fourth Proportional to 3,546.74, 4,894.20 and 1,974.80

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Solution

The fourth proportional to 3,546.74, 4,894.20 and 1,974.80 is: 2,725.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.74 : 4,894.20 = 1,974.80 : x
  2. Step 2: Convert to fraction form
    3,546.74/4,894.20 = 1,974.80/x
  3. Step 3: Cross multiply
    3,546.74x = 4,894.20 × 1,974.80
  4. Step 4: Simplify right side
    3,546.74x = 9,665,041.69
  5. Step 5: Solve for x
    x = 9,665,041.69/3,546.74
  6. Step 6: Final answer
    x = 2,725.05

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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.