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Finding the Fourth Proportional to 4,771.89, 7,157.84 and 2,000.48

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Solution

The fourth proportional to 4,771.89, 7,157.84 and 2,000.48 is: 3,000.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.89 : 7,157.84 = 2,000.48 : x
  2. Step 2: Convert to fraction form
    4,771.89/7,157.84 = 2,000.48/x
  3. Step 3: Cross multiply
    4,771.89x = 7,157.84 × 2,000.48
  4. Step 4: Simplify right side
    4,771.89x = 14,319,069.97
  5. Step 5: Solve for x
    x = 14,319,069.97/4,771.89
  6. Step 6: Final answer
    x = 3,000.71

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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.