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Finding the Fourth Proportional to 6,480.96, 8,944.20 and 3,647.94

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Solution

The fourth proportional to 6,480.96, 8,944.20 and 3,647.94 is: 5,034.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.96 : 8,944.20 = 3,647.94 : x
  2. Step 2: Convert to fraction form
    6,480.96/8,944.20 = 3,647.94/x
  3. Step 3: Cross multiply
    6,480.96x = 8,944.20 × 3,647.94
  4. Step 4: Simplify right side
    6,480.96x = 32,627,904.95
  5. Step 5: Solve for x
    x = 32,627,904.95/6,480.96
  6. Step 6: Final answer
    x = 5,034.42

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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.