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Finding the Fourth Proportional to 5,771.34, 7,953.39 and 4,112.46

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Solution

The fourth proportional to 5,771.34, 7,953.39 and 4,112.46 is: 5,667.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.34 : 7,953.39 = 4,112.46 : x
  2. Step 2: Convert to fraction form
    5,771.34/7,953.39 = 4,112.46/x
  3. Step 3: Cross multiply
    5,771.34x = 7,953.39 × 4,112.46
  4. Step 4: Simplify right side
    5,771.34x = 32,707,998.24
  5. Step 5: Solve for x
    x = 32,707,998.24/5,771.34
  6. Step 6: Final answer
    x = 5,667.31

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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.