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Finding the Fourth Proportional to 3,446.54, 5,166.74 and 1,253.73

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Solution

The fourth proportional to 3,446.54, 5,166.74 and 1,253.73 is: 1,879.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.54 : 5,166.74 = 1,253.73 : x
  2. Step 2: Convert to fraction form
    3,446.54/5,166.74 = 1,253.73/x
  3. Step 3: Cross multiply
    3,446.54x = 5,166.74 × 1,253.73
  4. Step 4: Simplify right side
    3,446.54x = 6,477,671.30
  5. Step 5: Solve for x
    x = 6,477,671.30/3,446.54
  6. Step 6: Final answer
    x = 1,879.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.