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Finding the Fourth Proportional to 5,982.20, 8,257.02 and 4,214.60

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Solution

The fourth proportional to 5,982.20, 8,257.02 and 4,214.60 is: 5,817.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982.20 : 8,257.02 = 4,214.60 : x
  2. Step 2: Convert to fraction form
    5,982.20/8,257.02 = 4,214.60/x
  3. Step 3: Cross multiply
    5,982.20x = 8,257.02 × 4,214.60
  4. Step 4: Simplify right side
    5,982.20x = 34,800,036.49
  5. Step 5: Solve for x
    x = 34,800,036.49/5,982.20
  6. Step 6: Final answer
    x = 5,817.26

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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.