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Finding the Fourth Proportional to 3,645.91, 5,474.33 and 2,087.67

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Solution

The fourth proportional to 3,645.91, 5,474.33 and 2,087.67 is: 3,134.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.91 : 5,474.33 = 2,087.67 : x
  2. Step 2: Convert to fraction form
    3,645.91/5,474.33 = 2,087.67/x
  3. Step 3: Cross multiply
    3,645.91x = 5,474.33 × 2,087.67
  4. Step 4: Simplify right side
    3,645.91x = 11,428,584.07
  5. Step 5: Solve for x
    x = 11,428,584.07/3,645.91
  6. Step 6: Final answer
    x = 3,134.64

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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.