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Finding the Fourth Proportional to 5,876.86, 8,109.80 and 3,224.21

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Solution

The fourth proportional to 5,876.86, 8,109.80 and 3,224.21 is: 4,449.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.86 : 8,109.80 = 3,224.21 : x
  2. Step 2: Convert to fraction form
    5,876.86/8,109.80 = 3,224.21/x
  3. Step 3: Cross multiply
    5,876.86x = 8,109.80 × 3,224.21
  4. Step 4: Simplify right side
    5,876.86x = 26,147,726.59
  5. Step 5: Solve for x
    x = 26,147,726.59/5,876.86
  6. Step 6: Final answer
    x = 4,449.27

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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.