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Finding the Fourth Proportional to 5,795.64, 7,996.14 and 3,277.44

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Solution

The fourth proportional to 5,795.64, 7,996.14 and 3,277.44 is: 4,521.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,795.64 : 7,996.14 = 3,277.44 : x
  2. Step 2: Convert to fraction form
    5,795.64/7,996.14 = 3,277.44/x
  3. Step 3: Cross multiply
    5,795.64x = 7,996.14 × 3,277.44
  4. Step 4: Simplify right side
    5,795.64x = 26,206,869.08
  5. Step 5: Solve for x
    x = 26,206,869.08/5,795.64
  6. Step 6: Final answer
    x = 4,521.82

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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.