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Finding the Fourth Proportional to 5,118.26, 7,674.03 and 1,829.66

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Solution

The fourth proportional to 5,118.26, 7,674.03 and 1,829.66 is: 2,743.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,118.26 : 7,674.03 = 1,829.66 : x
  2. Step 2: Convert to fraction form
    5,118.26/7,674.03 = 1,829.66/x
  3. Step 3: Cross multiply
    5,118.26x = 7,674.03 × 1,829.66
  4. Step 4: Simplify right side
    5,118.26x = 14,040,865.73
  5. Step 5: Solve for x
    x = 14,040,865.73/5,118.26
  6. Step 6: Final answer
    x = 2,743.29

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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.