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Finding the Fourth Proportional to 4,930.50, 7,392.10 and 2,982.27

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Solution

The fourth proportional to 4,930.50, 7,392.10 and 2,982.27 is: 4,471.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930.50 : 7,392.10 = 2,982.27 : x
  2. Step 2: Convert to fraction form
    4,930.50/7,392.10 = 2,982.27/x
  3. Step 3: Cross multiply
    4,930.50x = 7,392.10 × 2,982.27
  4. Step 4: Simplify right side
    4,930.50x = 22,045,238.07
  5. Step 5: Solve for x
    x = 22,045,238.07/4,930.50
  6. Step 6: Final answer
    x = 4,471.20

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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.