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Finding the Fourth Proportional to 5,679.04, 7,836.76 and 3,322

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Solution

The fourth proportional to 5,679.04, 7,836.76 and 3,322 is: 4,584.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.04 : 7,836.76 = 3,322 : x
  2. Step 2: Convert to fraction form
    5,679.04/7,836.76 = 3,322/x
  3. Step 3: Cross multiply
    5,679.04x = 7,836.76 × 3,322
  4. Step 4: Simplify right side
    5,679.04x = 26,033,716.72
  5. Step 5: Solve for x
    x = 26,033,716.72/5,679.04
  6. Step 6: Final answer
    x = 4,584.18

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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.