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Finding the Fourth Proportional to 5,618.80, 8,427.89 and 1,723.22

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Solution

The fourth proportional to 5,618.80, 8,427.89 and 1,723.22 is: 2,584.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,618.80 : 8,427.89 = 1,723.22 : x
  2. Step 2: Convert to fraction form
    5,618.80/8,427.89 = 1,723.22/x
  3. Step 3: Cross multiply
    5,618.80x = 8,427.89 × 1,723.22
  4. Step 4: Simplify right side
    5,618.80x = 14,523,070.77
  5. Step 5: Solve for x
    x = 14,523,070.77/5,618.80
  6. Step 6: Final answer
    x = 2,584.73

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Why These Related Problems?

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