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Finding the Fourth Proportional to 3,396.99, 5,096.03 and 1,449.21

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Solution

The fourth proportional to 3,396.99, 5,096.03 and 1,449.21 is: 2,174.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.99 : 5,096.03 = 1,449.21 : x
  2. Step 2: Convert to fraction form
    3,396.99/5,096.03 = 1,449.21/x
  3. Step 3: Cross multiply
    3,396.99x = 5,096.03 × 1,449.21
  4. Step 4: Simplify right side
    3,396.99x = 7,385,217.64
  5. Step 5: Solve for x
    x = 7,385,217.64/3,396.99
  6. Step 6: Final answer
    x = 2,174.05

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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.