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Finding the Fourth Proportional to 5,827.26, 8,040.38 and 3,939.14

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Solution

The fourth proportional to 5,827.26, 8,040.38 and 3,939.14 is: 5,435.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.26 : 8,040.38 = 3,939.14 : x
  2. Step 2: Convert to fraction form
    5,827.26/8,040.38 = 3,939.14/x
  3. Step 3: Cross multiply
    5,827.26x = 8,040.38 × 3,939.14
  4. Step 4: Simplify right side
    5,827.26x = 31,672,182.47
  5. Step 5: Solve for x
    x = 31,672,182.47/5,827.26
  6. Step 6: Final answer
    x = 5,435.18

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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.