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Finding the Fourth Proportional to 4,771.27, 7,157.96 and 1,960.10

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Solution

The fourth proportional to 4,771.27, 7,157.96 and 1,960.10 is: 2,940.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.27 : 7,157.96 = 1,960.10 : x
  2. Step 2: Convert to fraction form
    4,771.27/7,157.96 = 1,960.10/x
  3. Step 3: Cross multiply
    4,771.27x = 7,157.96 × 1,960.10
  4. Step 4: Simplify right side
    4,771.27x = 14,030,313.35
  5. Step 5: Solve for x
    x = 14,030,313.35/4,771.27
  6. Step 6: Final answer
    x = 2,940.58

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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.