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Finding the Fourth Proportional to 4,957, 6,840.66 and 2,749

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Solution

The fourth proportional to 4,957, 6,840.66 and 2,749 is: 3,793.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957 : 6,840.66 = 2,749 : x
  2. Step 2: Convert to fraction form
    4,957/6,840.66 = 2,749/x
  3. Step 3: Cross multiply
    4,957x = 6,840.66 × 2,749
  4. Step 4: Simplify right side
    4,957x = 18,804,974.34
  5. Step 5: Solve for x
    x = 18,804,974.34/4,957
  6. Step 6: Final answer
    x = 3,793.62

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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.