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Finding the Fourth Proportional to 5,876.93, 8,110.16 and 3,224.34

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Solution

The fourth proportional to 5,876.93, 8,110.16 and 3,224.34 is: 4,449.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.93 : 8,110.16 = 3,224.34 : x
  2. Step 2: Convert to fraction form
    5,876.93/8,110.16 = 3,224.34/x
  3. Step 3: Cross multiply
    5,876.93x = 8,110.16 × 3,224.34
  4. Step 4: Simplify right side
    5,876.93x = 26,149,897.17
  5. Step 5: Solve for x
    x = 26,149,897.17/5,876.93
  6. Step 6: Final answer
    x = 4,449.59

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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.