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Finding the Fourth Proportional to 3,293.82, 4,940.73 and 953.96

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Solution

The fourth proportional to 3,293.82, 4,940.73 and 953.96 is: 1,430.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.82 : 4,940.73 = 953.96 : x
  2. Step 2: Convert to fraction form
    3,293.82/4,940.73 = 953.96/x
  3. Step 3: Cross multiply
    3,293.82x = 4,940.73 × 953.96
  4. Step 4: Simplify right side
    3,293.82x = 4,713,234.09
  5. Step 5: Solve for x
    x = 4,713,234.09/3,293.82
  6. Step 6: Final answer
    x = 1,430.93

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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.