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Finding the Fourth Proportional to 4,722.96, 6,517.44 and 2,627.20

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Solution

The fourth proportional to 4,722.96, 6,517.44 and 2,627.20 is: 3,625.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,722.96 : 6,517.44 = 2,627.20 : x
  2. Step 2: Convert to fraction form
    4,722.96/6,517.44 = 2,627.20/x
  3. Step 3: Cross multiply
    4,722.96x = 6,517.44 × 2,627.20
  4. Step 4: Simplify right side
    4,722.96x = 17,122,618.37
  5. Step 5: Solve for x
    x = 17,122,618.37/4,722.96
  6. Step 6: Final answer
    x = 3,625.40

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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.