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Finding the Fourth Proportional to 3,825.74, 5,740.04 and 2,604.67

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Solution

The fourth proportional to 3,825.74, 5,740.04 and 2,604.67 is: 3,907.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.74 : 5,740.04 = 2,604.67 : x
  2. Step 2: Convert to fraction form
    3,825.74/5,740.04 = 2,604.67/x
  3. Step 3: Cross multiply
    3,825.74x = 5,740.04 × 2,604.67
  4. Step 4: Simplify right side
    3,825.74x = 14,950,902.15
  5. Step 5: Solve for x
    x = 14,950,902.15/3,825.74
  6. Step 6: Final answer
    x = 3,907.97

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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.