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Finding the Fourth Proportional to 4,412, 6,611.82 and 3,315.67

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Solution

The fourth proportional to 4,412, 6,611.82 and 3,315.67 is: 4,968.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,412 : 6,611.82 = 3,315.67 : x
  2. Step 2: Convert to fraction form
    4,412/6,611.82 = 3,315.67/x
  3. Step 3: Cross multiply
    4,412x = 6,611.82 × 3,315.67
  4. Step 4: Simplify right side
    4,412x = 21,922,613.22
  5. Step 5: Solve for x
    x = 21,922,613.22/4,412
  6. Step 6: Final answer
    x = 4,968.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.