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Finding the Fourth Proportional to 5,891.34, 8,129.88 and 3,796.68

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Solution

The fourth proportional to 5,891.34, 8,129.88 and 3,796.68 is: 5,239.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.34 : 8,129.88 = 3,796.68 : x
  2. Step 2: Convert to fraction form
    5,891.34/8,129.88 = 3,796.68/x
  3. Step 3: Cross multiply
    5,891.34x = 8,129.88 × 3,796.68
  4. Step 4: Simplify right side
    5,891.34x = 30,866,552.80
  5. Step 5: Solve for x
    x = 30,866,552.80/5,891.34
  6. Step 6: Final answer
    x = 5,239.31

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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.