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Finding the Fourth Proportional to 5,992.98, 8,258.15 and 4,640.43

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Solution

The fourth proportional to 5,992.98, 8,258.15 and 4,640.43 is: 6,394.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,992.98 : 8,258.15 = 4,640.43 : x
  2. Step 2: Convert to fraction form
    5,992.98/8,258.15 = 4,640.43/x
  3. Step 3: Cross multiply
    5,992.98x = 8,258.15 × 4,640.43
  4. Step 4: Simplify right side
    5,992.98x = 38,321,367.00
  5. Step 5: Solve for x
    x = 38,321,367.00/5,992.98
  6. Step 6: Final answer
    x = 6,394.38

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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.