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Finding the Fourth Proportional to 5,883.26, 8,119 and 3,230.64

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Solution

The fourth proportional to 5,883.26, 8,119 and 3,230.64 is: 4,458.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,883.26 : 8,119 = 3,230.64 : x
  2. Step 2: Convert to fraction form
    5,883.26/8,119 = 3,230.64/x
  3. Step 3: Cross multiply
    5,883.26x = 8,119 × 3,230.64
  4. Step 4: Simplify right side
    5,883.26x = 26,229,566.16
  5. Step 5: Solve for x
    x = 26,229,566.16/5,883.26
  6. Step 6: Final answer
    x = 4,458.34

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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.