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Finding the Fourth Proportional to 5,082.69, 7,014 and 2,958.60

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Solution

The fourth proportional to 5,082.69, 7,014 and 2,958.60 is: 4,082.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.69 : 7,014 = 2,958.60 : x
  2. Step 2: Convert to fraction form
    5,082.69/7,014 = 2,958.60/x
  3. Step 3: Cross multiply
    5,082.69x = 7,014 × 2,958.60
  4. Step 4: Simplify right side
    5,082.69x = 20,751,620.40
  5. Step 5: Solve for x
    x = 20,751,620.40/5,082.69
  6. Step 6: Final answer
    x = 4,082.80

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Why These Related Problems?

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