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Finding the Fourth Proportional to 5,788.96, 7,992.20 and 3,802.97

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Solution

The fourth proportional to 5,788.96, 7,992.20 and 3,802.97 is: 5,250.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.96 : 7,992.20 = 3,802.97 : x
  2. Step 2: Convert to fraction form
    5,788.96/7,992.20 = 3,802.97/x
  3. Step 3: Cross multiply
    5,788.96x = 7,992.20 × 3,802.97
  4. Step 4: Simplify right side
    5,788.96x = 30,394,096.83
  5. Step 5: Solve for x
    x = 30,394,096.83/5,788.96
  6. Step 6: Final answer
    x = 5,250.36

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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.