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Finding the Fourth Proportional to 5,042, 6,958.11 and 2,803.97

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Solution

The fourth proportional to 5,042, 6,958.11 and 2,803.97 is: 3,869.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,042 : 6,958.11 = 2,803.97 : x
  2. Step 2: Convert to fraction form
    5,042/6,958.11 = 2,803.97/x
  3. Step 3: Cross multiply
    5,042x = 6,958.11 × 2,803.97
  4. Step 4: Simplify right side
    5,042x = 19,510,331.70
  5. Step 5: Solve for x
    x = 19,510,331.70/5,042
  6. Step 6: Final answer
    x = 3,869.56

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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.