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Finding the Fourth Proportional to 5,849.96, 8,073.07 and 3,197.31

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Solution

The fourth proportional to 5,849.96, 8,073.07 and 3,197.31 is: 4,412.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.96 : 8,073.07 = 3,197.31 : x
  2. Step 2: Convert to fraction form
    5,849.96/8,073.07 = 3,197.31/x
  3. Step 3: Cross multiply
    5,849.96x = 8,073.07 × 3,197.31
  4. Step 4: Simplify right side
    5,849.96x = 25,812,069.17
  5. Step 5: Solve for x
    x = 25,812,069.17/5,849.96
  6. Step 6: Final answer
    x = 4,412.35

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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.