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Finding the Fourth Proportional to 4,571.82, 6,311.79 and 3,002.67

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Solution

The fourth proportional to 4,571.82, 6,311.79 and 3,002.67 is: 4,145.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.82 : 6,311.79 = 3,002.67 : x
  2. Step 2: Convert to fraction form
    4,571.82/6,311.79 = 3,002.67/x
  3. Step 3: Cross multiply
    4,571.82x = 6,311.79 × 3,002.67
  4. Step 4: Simplify right side
    4,571.82x = 18,952,222.48
  5. Step 5: Solve for x
    x = 18,952,222.48/4,571.82
  6. Step 6: Final answer
    x = 4,145.44

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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.