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Finding the Fourth Proportional to 4,627.89, 6,385.92 and 2,638.20

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Solution

The fourth proportional to 4,627.89, 6,385.92 and 2,638.20 is: 3,640.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627.89 : 6,385.92 = 2,638.20 : x
  2. Step 2: Convert to fraction form
    4,627.89/6,385.92 = 2,638.20/x
  3. Step 3: Cross multiply
    4,627.89x = 6,385.92 × 2,638.20
  4. Step 4: Simplify right side
    4,627.89x = 16,847,334.14
  5. Step 5: Solve for x
    x = 16,847,334.14/4,627.89
  6. Step 6: Final answer
    x = 3,640.39

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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.