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Finding the Fourth Proportional to 4,771.46, 7,159 and 2,000

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Solution

The fourth proportional to 4,771.46, 7,159 and 2,000 is: 3,000.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.46 : 7,159 = 2,000 : x
  2. Step 2: Convert to fraction form
    4,771.46/7,159 = 2,000/x
  3. Step 3: Cross multiply
    4,771.46x = 7,159 × 2,000
  4. Step 4: Simplify right side
    4,771.46x = 14,318,000
  5. Step 5: Solve for x
    x = 14,318,000/4,771.46
  6. Step 6: Final answer
    x = 3,000.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.