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Finding the Fourth Proportional to 5,786.07, 7,984.58 and 3,267.96

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Solution

The fourth proportional to 5,786.07, 7,984.58 and 3,267.96 is: 4,509.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.07 : 7,984.58 = 3,267.96 : x
  2. Step 2: Convert to fraction form
    5,786.07/7,984.58 = 3,267.96/x
  3. Step 3: Cross multiply
    5,786.07x = 7,984.58 × 3,267.96
  4. Step 4: Simplify right side
    5,786.07x = 26,093,271.72
  5. Step 5: Solve for x
    x = 26,093,271.72/5,786.07
  6. Step 6: Final answer
    x = 4,509.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.