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Finding the Fourth Proportional to 4,704.19, 7,056.32 and 3,825.67

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Solution

The fourth proportional to 4,704.19, 7,056.32 and 3,825.67 is: 5,738.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.19 : 7,056.32 = 3,825.67 : x
  2. Step 2: Convert to fraction form
    4,704.19/7,056.32 = 3,825.67/x
  3. Step 3: Cross multiply
    4,704.19x = 7,056.32 × 3,825.67
  4. Step 4: Simplify right side
    4,704.19x = 26,995,151.73
  5. Step 5: Solve for x
    x = 26,995,151.73/4,704.19
  6. Step 6: Final answer
    x = 5,738.53

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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.