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Finding the Fourth Proportional to 3,771.93, 5,204.74 and 2,093.24

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Solution

The fourth proportional to 3,771.93, 5,204.74 and 2,093.24 is: 2,888.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.93 : 5,204.74 = 2,093.24 : x
  2. Step 2: Convert to fraction form
    3,771.93/5,204.74 = 2,093.24/x
  3. Step 3: Cross multiply
    3,771.93x = 5,204.74 × 2,093.24
  4. Step 4: Simplify right side
    3,771.93x = 10,894,769.96
  5. Step 5: Solve for x
    x = 10,894,769.96/3,771.93
  6. Step 6: Final answer
    x = 2,888.38

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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.