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Finding the Fourth Proportional to 4,930.76, 7,396.44 and 2,009

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Solution

The fourth proportional to 4,930.76, 7,396.44 and 2,009 is: 3,013.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930.76 : 7,396.44 = 2,009 : x
  2. Step 2: Convert to fraction form
    4,930.76/7,396.44 = 2,009/x
  3. Step 3: Cross multiply
    4,930.76x = 7,396.44 × 2,009
  4. Step 4: Simplify right side
    4,930.76x = 14,859,447.96
  5. Step 5: Solve for x
    x = 14,859,447.96/4,930.76
  6. Step 6: Final answer
    x = 3,013.62

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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.