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Finding the Fourth Proportional to 6,584.58, 9,085.98 and 3,895.88

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Solution

The fourth proportional to 6,584.58, 9,085.98 and 3,895.88 is: 5,375.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.58 : 9,085.98 = 3,895.88 : x
  2. Step 2: Convert to fraction form
    6,584.58/9,085.98 = 3,895.88/x
  3. Step 3: Cross multiply
    6,584.58x = 9,085.98 × 3,895.88
  4. Step 4: Simplify right side
    6,584.58x = 35,397,873.15
  5. Step 5: Solve for x
    x = 35,397,873.15/6,584.58
  6. Step 6: Final answer
    x = 5,375.87

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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.