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Finding the Fourth Proportional to 5,794.96, 7,997.26 and 3,277.34

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Solution

The fourth proportional to 5,794.96, 7,997.26 and 3,277.34 is: 4,522.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.96 : 7,997.26 = 3,277.34 : x
  2. Step 2: Convert to fraction form
    5,794.96/7,997.26 = 3,277.34/x
  3. Step 3: Cross multiply
    5,794.96x = 7,997.26 × 3,277.34
  4. Step 4: Simplify right side
    5,794.96x = 26,209,740.09
  5. Step 5: Solve for x
    x = 26,209,740.09/5,794.96
  6. Step 6: Final answer
    x = 4,522.85

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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.