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Finding the Fourth Proportional to 5,082.96, 7,012.26 and 2,986.14

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Solution

The fourth proportional to 5,082.96, 7,012.26 and 2,986.14 is: 4,119.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.96 : 7,012.26 = 2,986.14 : x
  2. Step 2: Convert to fraction form
    5,082.96/7,012.26 = 2,986.14/x
  3. Step 3: Cross multiply
    5,082.96x = 7,012.26 × 2,986.14
  4. Step 4: Simplify right side
    5,082.96x = 20,939,590.08
  5. Step 5: Solve for x
    x = 20,939,590.08/5,082.96
  6. Step 6: Final answer
    x = 4,119.57

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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.