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Finding the Fourth Proportional to 5,851.34, 8,074.99 and 3,198.94

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Solution

The fourth proportional to 5,851.34, 8,074.99 and 3,198.94 is: 4,414.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851.34 : 8,074.99 = 3,198.94 : x
  2. Step 2: Convert to fraction form
    5,851.34/8,074.99 = 3,198.94/x
  3. Step 3: Cross multiply
    5,851.34x = 8,074.99 × 3,198.94
  4. Step 4: Simplify right side
    5,851.34x = 25,831,437.74
  5. Step 5: Solve for x
    x = 25,831,437.74/5,851.34
  6. Step 6: Final answer
    x = 4,414.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.