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Finding the Fourth Proportional to 5,676.40, 7,825.14 and 3,992.80

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Solution

The fourth proportional to 5,676.40, 7,825.14 and 3,992.80 is: 5,504.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.40 : 7,825.14 = 3,992.80 : x
  2. Step 2: Convert to fraction form
    5,676.40/7,825.14 = 3,992.80/x
  3. Step 3: Cross multiply
    5,676.40x = 7,825.14 × 3,992.80
  4. Step 4: Simplify right side
    5,676.40x = 31,244,218.99
  5. Step 5: Solve for x
    x = 31,244,218.99/5,676.40
  6. Step 6: Final answer
    x = 5,504.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.