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Finding the Fourth Proportional to 5,047.96, 7,568.70 and 3,314.56

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Solution

The fourth proportional to 5,047.96, 7,568.70 and 3,314.56 is: 4,969.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.96 : 7,568.70 = 3,314.56 : x
  2. Step 2: Convert to fraction form
    5,047.96/7,568.70 = 3,314.56/x
  3. Step 3: Cross multiply
    5,047.96x = 7,568.70 × 3,314.56
  4. Step 4: Simplify right side
    5,047.96x = 25,086,910.27
  5. Step 5: Solve for x
    x = 25,086,910.27/5,047.96
  6. Step 6: Final answer
    x = 4,969.71

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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.