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Finding the Fourth Proportional to 4,174.68, 6,245.82 and 2,872.20

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Solution

The fourth proportional to 4,174.68, 6,245.82 and 2,872.20 is: 4,297.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.68 : 6,245.82 = 2,872.20 : x
  2. Step 2: Convert to fraction form
    4,174.68/6,245.82 = 2,872.20/x
  3. Step 3: Cross multiply
    4,174.68x = 6,245.82 × 2,872.20
  4. Step 4: Simplify right side
    4,174.68x = 17,939,244.20
  5. Step 5: Solve for x
    x = 17,939,244.20/4,174.68
  6. Step 6: Final answer
    x = 4,297.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.