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Finding the Fourth Proportional to 4,638.67, 6,949.63 and 3,074.97

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Solution

The fourth proportional to 4,638.67, 6,949.63 and 3,074.97 is: 4,606.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.67 : 6,949.63 = 3,074.97 : x
  2. Step 2: Convert to fraction form
    4,638.67/6,949.63 = 3,074.97/x
  3. Step 3: Cross multiply
    4,638.67x = 6,949.63 × 3,074.97
  4. Step 4: Simplify right side
    4,638.67x = 21,369,903.76
  5. Step 5: Solve for x
    x = 21,369,903.76/4,638.67
  6. Step 6: Final answer
    x = 4,606.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.