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Finding the Fourth Proportional to 4,891, 6,749.58 and 2,683

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Solution

The fourth proportional to 4,891, 6,749.58 and 2,683 is: 3,702.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891 : 6,749.58 = 2,683 : x
  2. Step 2: Convert to fraction form
    4,891/6,749.58 = 2,683/x
  3. Step 3: Cross multiply
    4,891x = 6,749.58 × 2,683
  4. Step 4: Simplify right side
    4,891x = 18,109,123.14
  5. Step 5: Solve for x
    x = 18,109,123.14/4,891
  6. Step 6: Final answer
    x = 3,702.54

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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.