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Finding the Fourth Proportional to 6,147.54, 8,481.60 and 3,628.80

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Solution

The fourth proportional to 6,147.54, 8,481.60 and 3,628.80 is: 5,006.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.54 : 8,481.60 = 3,628.80 : x
  2. Step 2: Convert to fraction form
    6,147.54/8,481.60 = 3,628.80/x
  3. Step 3: Cross multiply
    6,147.54x = 8,481.60 × 3,628.80
  4. Step 4: Simplify right side
    6,147.54x = 30,778,030.08
  5. Step 5: Solve for x
    x = 30,778,030.08/6,147.54
  6. Step 6: Final answer
    x = 5,006.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.