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Finding the Fourth Proportional to 3,580, 4,940.94 and 2,182.48

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Solution

The fourth proportional to 3,580, 4,940.94 and 2,182.48 is: 3,012.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580 : 4,940.94 = 2,182.48 : x
  2. Step 2: Convert to fraction form
    3,580/4,940.94 = 2,182.48/x
  3. Step 3: Cross multiply
    3,580x = 4,940.94 × 2,182.48
  4. Step 4: Simplify right side
    3,580x = 10,783,502.73
  5. Step 5: Solve for x
    x = 10,783,502.73/3,580
  6. Step 6: Final answer
    x = 3,012.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.