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Finding the Fourth Proportional to 4,729.48, 6,520.26 and 3,843.88

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Solution

The fourth proportional to 4,729.48, 6,520.26 and 3,843.88 is: 5,299.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729.48 : 6,520.26 = 3,843.88 : x
  2. Step 2: Convert to fraction form
    4,729.48/6,520.26 = 3,843.88/x
  3. Step 3: Cross multiply
    4,729.48x = 6,520.26 × 3,843.88
  4. Step 4: Simplify right side
    4,729.48x = 25,063,097.01
  5. Step 5: Solve for x
    x = 25,063,097.01/4,729.48
  6. Step 6: Final answer
    x = 5,299.33

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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.