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Finding the Fourth Proportional to 3,213.67, 4,820.99 and 992.04

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Solution

The fourth proportional to 3,213.67, 4,820.99 and 992.04 is: 1,488.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.67 : 4,820.99 = 992.04 : x
  2. Step 2: Convert to fraction form
    3,213.67/4,820.99 = 992.04/x
  3. Step 3: Cross multiply
    3,213.67x = 4,820.99 × 992.04
  4. Step 4: Simplify right side
    3,213.67x = 4,782,614.92
  5. Step 5: Solve for x
    x = 4,782,614.92/3,213.67
  6. Step 6: Final answer
    x = 1,488.21

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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.