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Finding the Fourth Proportional to 5,049, 6,967.89 and 2,954.34

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Solution

The fourth proportional to 5,049, 6,967.89 and 2,954.34 is: 4,077.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049 : 6,967.89 = 2,954.34 : x
  2. Step 2: Convert to fraction form
    5,049/6,967.89 = 2,954.34/x
  3. Step 3: Cross multiply
    5,049x = 6,967.89 × 2,954.34
  4. Step 4: Simplify right side
    5,049x = 20,585,516.14
  5. Step 5: Solve for x
    x = 20,585,516.14/5,049
  6. Step 6: Final answer
    x = 4,077.15

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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.