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Finding the Fourth Proportional to 6,188.58, 8,540.26 and 3,536

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Solution

The fourth proportional to 6,188.58, 8,540.26 and 3,536 is: 4,879.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.58 : 8,540.26 = 3,536 : x
  2. Step 2: Convert to fraction form
    6,188.58/8,540.26 = 3,536/x
  3. Step 3: Cross multiply
    6,188.58x = 8,540.26 × 3,536
  4. Step 4: Simplify right side
    6,188.58x = 30,198,359.36
  5. Step 5: Solve for x
    x = 30,198,359.36/6,188.58
  6. Step 6: Final answer
    x = 4,879.69

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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.