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Finding the Fourth Proportional to 4,627.92, 6,386.20 and 2,638.09

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Solution

The fourth proportional to 4,627.92, 6,386.20 and 2,638.09 is: 3,640.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627.92 : 6,386.20 = 2,638.09 : x
  2. Step 2: Convert to fraction form
    4,627.92/6,386.20 = 2,638.09/x
  3. Step 3: Cross multiply
    4,627.92x = 6,386.20 × 2,638.09
  4. Step 4: Simplify right side
    4,627.92x = 16,847,370.36
  5. Step 5: Solve for x
    x = 16,847,370.36/4,627.92
  6. Step 6: Final answer
    x = 3,640.38

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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.