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Finding the Fourth Proportional to 4,930.88, 7,396.08 and 2,009

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Solution

The fourth proportional to 4,930.88, 7,396.08 and 2,009 is: 3,013.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930.88 : 7,396.08 = 2,009 : x
  2. Step 2: Convert to fraction form
    4,930.88/7,396.08 = 2,009/x
  3. Step 3: Cross multiply
    4,930.88x = 7,396.08 × 2,009
  4. Step 4: Simplify right side
    4,930.88x = 14,858,724.72
  5. Step 5: Solve for x
    x = 14,858,724.72/4,930.88
  6. Step 6: Final answer
    x = 3,013.40

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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.