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Finding the Fourth Proportional to 5,303.96, 7,951.06 and 2,380.67

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Solution

The fourth proportional to 5,303.96, 7,951.06 and 2,380.67 is: 3,568.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.96 : 7,951.06 = 2,380.67 : x
  2. Step 2: Convert to fraction form
    5,303.96/7,951.06 = 2,380.67/x
  3. Step 3: Cross multiply
    5,303.96x = 7,951.06 × 2,380.67
  4. Step 4: Simplify right side
    5,303.96x = 18,928,850.01
  5. Step 5: Solve for x
    x = 18,928,850.01/5,303.96
  6. Step 6: Final answer
    x = 3,568.81

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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.