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Finding the Fourth Proportional to 3,546.40, 4,893.92 and 1,974.46

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Solution

The fourth proportional to 3,546.40, 4,893.92 and 1,974.46 is: 2,724.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.40 : 4,893.92 = 1,974.46 : x
  2. Step 2: Convert to fraction form
    3,546.40/4,893.92 = 1,974.46/x
  3. Step 3: Cross multiply
    3,546.40x = 4,893.92 × 1,974.46
  4. Step 4: Simplify right side
    3,546.40x = 9,662,849.28
  5. Step 5: Solve for x
    x = 9,662,849.28/3,546.40
  6. Step 6: Final answer
    x = 2,724.69

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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.