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Finding the Fourth Proportional to 5,047.76, 7,571.46 and 2,450

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Solution

The fourth proportional to 5,047.76, 7,571.46 and 2,450 is: 3,674.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.76 : 7,571.46 = 2,450 : x
  2. Step 2: Convert to fraction form
    5,047.76/7,571.46 = 2,450/x
  3. Step 3: Cross multiply
    5,047.76x = 7,571.46 × 2,450
  4. Step 4: Simplify right side
    5,047.76x = 18,550,077
  5. Step 5: Solve for x
    x = 18,550,077/5,047.76
  6. Step 6: Final answer
    x = 3,674.91

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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.