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Finding the Fourth Proportional to 5,344.96, 8,016.73 and 1,647.31

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Solution

The fourth proportional to 5,344.96, 8,016.73 and 1,647.31 is: 2,470.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,344.96 : 8,016.73 = 1,647.31 : x
  2. Step 2: Convert to fraction form
    5,344.96/8,016.73 = 1,647.31/x
  3. Step 3: Cross multiply
    5,344.96x = 8,016.73 × 1,647.31
  4. Step 4: Simplify right side
    5,344.96x = 13,206,039.50
  5. Step 5: Solve for x
    x = 13,206,039.50/5,344.96
  6. Step 6: Final answer
    x = 2,470.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.