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Finding the Fourth Proportional to 4,926.97, 7,388.42 and 2,003.29

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Solution

The fourth proportional to 4,926.97, 7,388.42 and 2,003.29 is: 3,004.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,926.97 : 7,388.42 = 2,003.29 : x
  2. Step 2: Convert to fraction form
    4,926.97/7,388.42 = 2,003.29/x
  3. Step 3: Cross multiply
    4,926.97x = 7,388.42 × 2,003.29
  4. Step 4: Simplify right side
    4,926.97x = 14,801,137.89
  5. Step 5: Solve for x
    x = 14,801,137.89/4,926.97
  6. Step 6: Final answer
    x = 3,004.11

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Why These Related Problems?

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