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Finding the Fourth Proportional to 3,546.70, 4,894.65 and 1,974.70

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Solution

The fourth proportional to 3,546.70, 4,894.65 and 1,974.70 is: 2,725.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.70 : 4,894.65 = 1,974.70 : x
  2. Step 2: Convert to fraction form
    3,546.70/4,894.65 = 1,974.70/x
  3. Step 3: Cross multiply
    3,546.70x = 4,894.65 × 1,974.70
  4. Step 4: Simplify right side
    3,546.70x = 9,665,465.36
  5. Step 5: Solve for x
    x = 9,665,465.36/3,546.70
  6. Step 6: Final answer
    x = 2,725.20

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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.