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Finding the Fourth Proportional to 5,836.52, 8,048.14 and 3,843.61

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Solution

The fourth proportional to 5,836.52, 8,048.14 and 3,843.61 is: 5,300.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.52 : 8,048.14 = 3,843.61 : x
  2. Step 2: Convert to fraction form
    5,836.52/8,048.14 = 3,843.61/x
  3. Step 3: Cross multiply
    5,836.52x = 8,048.14 × 3,843.61
  4. Step 4: Simplify right side
    5,836.52x = 30,933,911.39
  5. Step 5: Solve for x
    x = 30,933,911.39/5,836.52
  6. Step 6: Final answer
    x = 5,300.06

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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.