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Finding the Fourth Proportional to 5,561.65, 8,344.23 and 2,272.78

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Solution

The fourth proportional to 5,561.65, 8,344.23 and 2,272.78 is: 3,409.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,561.65 : 8,344.23 = 2,272.78 : x
  2. Step 2: Convert to fraction form
    5,561.65/8,344.23 = 2,272.78/x
  3. Step 3: Cross multiply
    5,561.65x = 8,344.23 × 2,272.78
  4. Step 4: Simplify right side
    5,561.65x = 18,964,599.06
  5. Step 5: Solve for x
    x = 18,964,599.06/5,561.65
  6. Step 6: Final answer
    x = 3,409.89

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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.