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Finding the Fourth Proportional to 5,383.84, 8,074.20 and 2,096.20

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Solution

The fourth proportional to 5,383.84, 8,074.20 and 2,096.20 is: 3,143.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383.84 : 8,074.20 = 2,096.20 : x
  2. Step 2: Convert to fraction form
    5,383.84/8,074.20 = 2,096.20/x
  3. Step 3: Cross multiply
    5,383.84x = 8,074.20 × 2,096.20
  4. Step 4: Simplify right side
    5,383.84x = 16,925,138.04
  5. Step 5: Solve for x
    x = 16,925,138.04/5,383.84
  6. Step 6: Final answer
    x = 3,143.69

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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.