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Finding the Fourth Proportional to 5,849.94, 8,072.69 and 3,197.40

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Solution

The fourth proportional to 5,849.94, 8,072.69 and 3,197.40 is: 4,412.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.94 : 8,072.69 = 3,197.40 : x
  2. Step 2: Convert to fraction form
    5,849.94/8,072.69 = 3,197.40/x
  3. Step 3: Cross multiply
    5,849.94x = 8,072.69 × 3,197.40
  4. Step 4: Simplify right side
    5,849.94x = 25,811,619.01
  5. Step 5: Solve for x
    x = 25,811,619.01/5,849.94
  6. Step 6: Final answer
    x = 4,412.29

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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.