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Finding the Fourth Proportional to 5,119.72, 7,679.58 and 2,041

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Solution

The fourth proportional to 5,119.72, 7,679.58 and 2,041 is: 3,061.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,119.72 : 7,679.58 = 2,041 : x
  2. Step 2: Convert to fraction form
    5,119.72/7,679.58 = 2,041/x
  3. Step 3: Cross multiply
    5,119.72x = 7,679.58 × 2,041
  4. Step 4: Simplify right side
    5,119.72x = 15,674,022.78
  5. Step 5: Solve for x
    x = 15,674,022.78/5,119.72
  6. Step 6: Final answer
    x = 3,061.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.