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Finding the Fourth Proportional to 5,199.62, 7,797.96 and 1,450.54

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Solution

The fourth proportional to 5,199.62, 7,797.96 and 1,450.54 is: 2,175.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.62 : 7,797.96 = 1,450.54 : x
  2. Step 2: Convert to fraction form
    5,199.62/7,797.96 = 1,450.54/x
  3. Step 3: Cross multiply
    5,199.62x = 7,797.96 × 1,450.54
  4. Step 4: Simplify right side
    5,199.62x = 11,311,252.90
  5. Step 5: Solve for x
    x = 11,311,252.90/5,199.62
  6. Step 6: Final answer
    x = 2,175.40

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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.