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Finding the Fourth Proportional to 5,959.25, 8,223.77 and 3,863.38

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Solution

The fourth proportional to 5,959.25, 8,223.77 and 3,863.38 is: 5,331.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,959.25 : 8,223.77 = 3,863.38 : x
  2. Step 2: Convert to fraction form
    5,959.25/8,223.77 = 3,863.38/x
  3. Step 3: Cross multiply
    5,959.25x = 8,223.77 × 3,863.38
  4. Step 4: Simplify right side
    5,959.25x = 31,771,488.11
  5. Step 5: Solve for x
    x = 31,771,488.11/5,959.25
  6. Step 6: Final answer
    x = 5,331.46

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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.