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Finding the Fourth Proportional to 4,851.64, 7,273.74 and 2,217.31

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Solution

The fourth proportional to 4,851.64, 7,273.74 and 2,217.31 is: 3,324.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,851.64 : 7,273.74 = 2,217.31 : x
  2. Step 2: Convert to fraction form
    4,851.64/7,273.74 = 2,217.31/x
  3. Step 3: Cross multiply
    4,851.64x = 7,273.74 × 2,217.31
  4. Step 4: Simplify right side
    4,851.64x = 16,128,136.44
  5. Step 5: Solve for x
    x = 16,128,136.44/4,851.64
  6. Step 6: Final answer
    x = 3,324.26

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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.