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Finding the Fourth Proportional to 5,876.26, 8,109.76 and 3,224.18

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Solution

The fourth proportional to 5,876.26, 8,109.76 and 3,224.18 is: 4,449.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.26 : 8,109.76 = 3,224.18 : x
  2. Step 2: Convert to fraction form
    5,876.26/8,109.76 = 3,224.18/x
  3. Step 3: Cross multiply
    5,876.26x = 8,109.76 × 3,224.18
  4. Step 4: Simplify right side
    5,876.26x = 26,147,326.00
  5. Step 5: Solve for x
    x = 26,147,326.00/5,876.26
  6. Step 6: Final answer
    x = 4,449.65

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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.