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Finding the Fourth Proportional to 3,995.84, 5,994.93 and 2,049.40

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Solution

The fourth proportional to 3,995.84, 5,994.93 and 2,049.40 is: 3,074.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,995.84 : 5,994.93 = 2,049.40 : x
  2. Step 2: Convert to fraction form
    3,995.84/5,994.93 = 2,049.40/x
  3. Step 3: Cross multiply
    3,995.84x = 5,994.93 × 2,049.40
  4. Step 4: Simplify right side
    3,995.84x = 12,286,009.54
  5. Step 5: Solve for x
    x = 12,286,009.54/3,995.84
  6. Step 6: Final answer
    x = 3,074.70

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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.