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Finding the Fourth Proportional to 5,849.49, 8,072.47 and 3,197.07

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Solution

The fourth proportional to 5,849.49, 8,072.47 and 3,197.07 is: 4,412.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.49 : 8,072.47 = 3,197.07 : x
  2. Step 2: Convert to fraction form
    5,849.49/8,072.47 = 3,197.07/x
  3. Step 3: Cross multiply
    5,849.49x = 8,072.47 × 3,197.07
  4. Step 4: Simplify right side
    5,849.49x = 25,808,251.66
  5. Step 5: Solve for x
    x = 25,808,251.66/5,849.49
  6. Step 6: Final answer
    x = 4,412.05

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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.