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Finding the Fourth Proportional to 5,178.94, 7,147.09 and 2,821.23

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Solution

The fourth proportional to 5,178.94, 7,147.09 and 2,821.23 is: 3,893.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.94 : 7,147.09 = 2,821.23 : x
  2. Step 2: Convert to fraction form
    5,178.94/7,147.09 = 2,821.23/x
  3. Step 3: Cross multiply
    5,178.94x = 7,147.09 × 2,821.23
  4. Step 4: Simplify right side
    5,178.94x = 20,163,572.38
  5. Step 5: Solve for x
    x = 20,163,572.38/5,178.94
  6. Step 6: Final answer
    x = 3,893.38

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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.