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Finding the Fourth Proportional to 5,213.89, 7,820.43 and 3,021.22

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Solution

The fourth proportional to 5,213.89, 7,820.43 and 3,021.22 is: 4,531.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.89 : 7,820.43 = 3,021.22 : x
  2. Step 2: Convert to fraction form
    5,213.89/7,820.43 = 3,021.22/x
  3. Step 3: Cross multiply
    5,213.89x = 7,820.43 × 3,021.22
  4. Step 4: Simplify right side
    5,213.89x = 23,627,239.52
  5. Step 5: Solve for x
    x = 23,627,239.52/5,213.89
  6. Step 6: Final answer
    x = 4,531.60

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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.