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Finding the Fourth Proportional to 5,918.06, 8,167.03 and 3,825.83

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Solution

The fourth proportional to 5,918.06, 8,167.03 and 3,825.83 is: 5,279.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,918.06 : 8,167.03 = 3,825.83 : x
  2. Step 2: Convert to fraction form
    5,918.06/8,167.03 = 3,825.83/x
  3. Step 3: Cross multiply
    5,918.06x = 8,167.03 × 3,825.83
  4. Step 4: Simplify right side
    5,918.06x = 31,245,679.24
  5. Step 5: Solve for x
    x = 31,245,679.24/5,918.06
  6. Step 6: Final answer
    x = 5,279.71

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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.