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Finding the Fourth Proportional to 5,794.92, 7,997.40 and 3,277.05

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Solution

The fourth proportional to 5,794.92, 7,997.40 and 3,277.05 is: 4,522.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.92 : 7,997.40 = 3,277.05 : x
  2. Step 2: Convert to fraction form
    5,794.92/7,997.40 = 3,277.05/x
  3. Step 3: Cross multiply
    5,794.92x = 7,997.40 × 3,277.05
  4. Step 4: Simplify right side
    5,794.92x = 26,207,883.28
  5. Step 5: Solve for x
    x = 26,207,883.28/5,794.92
  6. Step 6: Final answer
    x = 4,522.56

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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.