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Finding the Fourth Proportional to 3,573, 4,930.74 and 2,331

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Solution

The fourth proportional to 3,573, 4,930.74 and 2,331 is: 3,216.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,573 : 4,930.74 = 2,331 : x
  2. Step 2: Convert to fraction form
    3,573/4,930.74 = 2,331/x
  3. Step 3: Cross multiply
    3,573x = 4,930.74 × 2,331
  4. Step 4: Simplify right side
    3,573x = 11,493,554.94
  5. Step 5: Solve for x
    x = 11,493,554.94/3,573
  6. Step 6: Final answer
    x = 3,216.78

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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.