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Finding the Fourth Proportional to 5,708.27, 7,877.38 and 3,190.38

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Solution

The fourth proportional to 5,708.27, 7,877.38 and 3,190.38 is: 4,402.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.27 : 7,877.38 = 3,190.38 : x
  2. Step 2: Convert to fraction form
    5,708.27/7,877.38 = 3,190.38/x
  3. Step 3: Cross multiply
    5,708.27x = 7,877.38 × 3,190.38
  4. Step 4: Simplify right side
    5,708.27x = 25,131,810.05
  5. Step 5: Solve for x
    x = 25,131,810.05/5,708.27
  6. Step 6: Final answer
    x = 4,402.71

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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.