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Finding the Fourth Proportional to 3,806.69, 5,718.29 and 3,222.89

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Solution

The fourth proportional to 3,806.69, 5,718.29 and 3,222.89 is: 4,841.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.69 : 5,718.29 = 3,222.89 : x
  2. Step 2: Convert to fraction form
    3,806.69/5,718.29 = 3,222.89/x
  3. Step 3: Cross multiply
    3,806.69x = 5,718.29 × 3,222.89
  4. Step 4: Simplify right side
    3,806.69x = 18,429,374.95
  5. Step 5: Solve for x
    x = 18,429,374.95/3,806.69
  6. Step 6: Final answer
    x = 4,841.31

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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.