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Finding the Fourth Proportional to 3,546.69, 4,894.47 and 1,974.82

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Solution

The fourth proportional to 3,546.69, 4,894.47 and 1,974.82 is: 2,725.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.69 : 4,894.47 = 1,974.82 : x
  2. Step 2: Convert to fraction form
    3,546.69/4,894.47 = 1,974.82/x
  3. Step 3: Cross multiply
    3,546.69x = 4,894.47 × 1,974.82
  4. Step 4: Simplify right side
    3,546.69x = 9,665,662.90
  5. Step 5: Solve for x
    x = 9,665,662.90/3,546.69
  6. Step 6: Final answer
    x = 2,725.26

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1.5x scale

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.