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Finding the Fourth Proportional to 5,849.53, 8,072.46 and 3,197.11

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Solution

The fourth proportional to 5,849.53, 8,072.46 and 3,197.11 is: 4,412.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.53 : 8,072.46 = 3,197.11 : x
  2. Step 2: Convert to fraction form
    5,849.53/8,072.46 = 3,197.11/x
  3. Step 3: Cross multiply
    5,849.53x = 8,072.46 × 3,197.11
  4. Step 4: Simplify right side
    5,849.53x = 25,808,542.59
  5. Step 5: Solve for x
    x = 25,808,542.59/5,849.53
  6. Step 6: Final answer
    x = 4,412.07

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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.