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Finding the Fourth Proportional to 3,580.97, 4,938 and 2,833.73

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Solution

The fourth proportional to 3,580.97, 4,938 and 2,833.73 is: 3,907.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.97 : 4,938 = 2,833.73 : x
  2. Step 2: Convert to fraction form
    3,580.97/4,938 = 2,833.73/x
  3. Step 3: Cross multiply
    3,580.97x = 4,938 × 2,833.73
  4. Step 4: Simplify right side
    3,580.97x = 13,992,958.74
  5. Step 5: Solve for x
    x = 13,992,958.74/3,580.97
  6. Step 6: Final answer
    x = 3,907.59

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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.