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Finding the Fourth Proportional to 4,638.60, 6,403.86 and 3,224.34

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Solution

The fourth proportional to 4,638.60, 6,403.86 and 3,224.34 is: 4,451.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.60 : 6,403.86 = 3,224.34 : x
  2. Step 2: Convert to fraction form
    4,638.60/6,403.86 = 3,224.34/x
  3. Step 3: Cross multiply
    4,638.60x = 6,403.86 × 3,224.34
  4. Step 4: Simplify right side
    4,638.60x = 20,648,221.95
  5. Step 5: Solve for x
    x = 20,648,221.95/4,638.60
  6. Step 6: Final answer
    x = 4,451.39

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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.