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Finding the Fourth Proportional to 3,993.92, 5,994.12 and 2,046.68

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Solution

The fourth proportional to 3,993.92, 5,994.12 and 2,046.68 is: 3,071.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.92 : 5,994.12 = 2,046.68 : x
  2. Step 2: Convert to fraction form
    3,993.92/5,994.12 = 2,046.68/x
  3. Step 3: Cross multiply
    3,993.92x = 5,994.12 × 2,046.68
  4. Step 4: Simplify right side
    3,993.92x = 12,268,045.52
  5. Step 5: Solve for x
    x = 12,268,045.52/3,993.92
  6. Step 6: Final answer
    x = 3,071.68

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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.