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Finding the Fourth Proportional to 4,186.38, 5,771.04 and 3,189.93

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Solution

The fourth proportional to 4,186.38, 5,771.04 and 3,189.93 is: 4,397.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186.38 : 5,771.04 = 3,189.93 : x
  2. Step 2: Convert to fraction form
    4,186.38/5,771.04 = 3,189.93/x
  3. Step 3: Cross multiply
    4,186.38x = 5,771.04 × 3,189.93
  4. Step 4: Simplify right side
    4,186.38x = 18,409,213.63
  5. Step 5: Solve for x
    x = 18,409,213.63/4,186.38
  6. Step 6: Final answer
    x = 4,397.41

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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.