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Finding the Fourth Proportional to 5,940.50, 8,201.16 and 4,447.88

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Solution

The fourth proportional to 5,940.50, 8,201.16 and 4,447.88 is: 6,140.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,940.50 : 8,201.16 = 4,447.88 : x
  2. Step 2: Convert to fraction form
    5,940.50/8,201.16 = 4,447.88/x
  3. Step 3: Cross multiply
    5,940.50x = 8,201.16 × 4,447.88
  4. Step 4: Simplify right side
    5,940.50x = 36,477,775.54
  5. Step 5: Solve for x
    x = 36,477,775.54/5,940.50
  6. Step 6: Final answer
    x = 6,140.52

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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.