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Finding the Fourth Proportional to 3,546.66, 4,894.34 and 1,974.75

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Solution

The fourth proportional to 3,546.66, 4,894.34 and 1,974.75 is: 2,725.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.66 : 4,894.34 = 1,974.75 : x
  2. Step 2: Convert to fraction form
    3,546.66/4,894.34 = 1,974.75/x
  3. Step 3: Cross multiply
    3,546.66x = 4,894.34 × 1,974.75
  4. Step 4: Simplify right side
    3,546.66x = 9,665,088.04
  5. Step 5: Solve for x
    x = 9,665,088.04/3,546.66
  6. Step 6: Final answer
    x = 2,725.12

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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.