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Finding the Fourth Proportional to 5,976.84, 8,968.59 and 2,469.42

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Solution

The fourth proportional to 5,976.84, 8,968.59 and 2,469.42 is: 3,705.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.84 : 8,968.59 = 2,469.42 : x
  2. Step 2: Convert to fraction form
    5,976.84/8,968.59 = 2,469.42/x
  3. Step 3: Cross multiply
    5,976.84x = 8,968.59 × 2,469.42
  4. Step 4: Simplify right side
    5,976.84x = 22,147,215.52
  5. Step 5: Solve for x
    x = 22,147,215.52/5,976.84
  6. Step 6: Final answer
    x = 3,705.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.