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Finding the Fourth Proportional to 4,839.11, 7,263.11 and 2,993.82

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Solution

The fourth proportional to 4,839.11, 7,263.11 and 2,993.82 is: 4,493.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,839.11 : 7,263.11 = 2,993.82 : x
  2. Step 2: Convert to fraction form
    4,839.11/7,263.11 = 2,993.82/x
  3. Step 3: Cross multiply
    4,839.11x = 7,263.11 × 2,993.82
  4. Step 4: Simplify right side
    4,839.11x = 21,744,478.70
  5. Step 5: Solve for x
    x = 21,744,478.70/4,839.11
  6. Step 6: Final answer
    x = 4,493.49

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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.