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Finding the Fourth Proportional to 5,795.30, 7,997.04 and 3,277.63

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Solution

The fourth proportional to 5,795.30, 7,997.04 and 3,277.63 is: 4,522.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,795.30 : 7,997.04 = 3,277.63 : x
  2. Step 2: Convert to fraction form
    5,795.30/7,997.04 = 3,277.63/x
  3. Step 3: Cross multiply
    5,795.30x = 7,997.04 × 3,277.63
  4. Step 4: Simplify right side
    5,795.30x = 26,211,338.22
  5. Step 5: Solve for x
    x = 26,211,338.22/5,795.30
  6. Step 6: Final answer
    x = 4,522.86

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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.