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Finding the Fourth Proportional to 4,673.78, 7,012.74 and 2,481.98

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Solution

The fourth proportional to 4,673.78, 7,012.74 and 2,481.98 is: 3,724.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.78 : 7,012.74 = 2,481.98 : x
  2. Step 2: Convert to fraction form
    4,673.78/7,012.74 = 2,481.98/x
  3. Step 3: Cross multiply
    4,673.78x = 7,012.74 × 2,481.98
  4. Step 4: Simplify right side
    4,673.78x = 17,405,480.43
  5. Step 5: Solve for x
    x = 17,405,480.43/4,673.78
  6. Step 6: Final answer
    x = 3,724.07

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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.