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Finding the Fourth Proportional to 5,082.42, 7,014.06 and 2,958

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Solution

The fourth proportional to 5,082.42, 7,014.06 and 2,958 is: 4,082.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.42 : 7,014.06 = 2,958 : x
  2. Step 2: Convert to fraction form
    5,082.42/7,014.06 = 2,958/x
  3. Step 3: Cross multiply
    5,082.42x = 7,014.06 × 2,958
  4. Step 4: Simplify right side
    5,082.42x = 20,747,589.48
  5. Step 5: Solve for x
    x = 20,747,589.48/5,082.42
  6. Step 6: Final answer
    x = 4,082.23

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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.