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Finding the Fourth Proportional to 3,546.81, 4,894.61 and 1,974.96

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Solution

The fourth proportional to 3,546.81, 4,894.61 and 1,974.96 is: 2,725.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.81 : 4,894.61 = 1,974.96 : x
  2. Step 2: Convert to fraction form
    3,546.81/4,894.61 = 1,974.96/x
  3. Step 3: Cross multiply
    3,546.81x = 4,894.61 × 1,974.96
  4. Step 4: Simplify right side
    3,546.81x = 9,666,649.09
  5. Step 5: Solve for x
    x = 9,666,649.09/3,546.81
  6. Step 6: Final answer
    x = 2,725.45

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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.