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Finding the Fourth Proportional to 5,821.92, 8,020.14 and 4,327.26

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Solution

The fourth proportional to 5,821.92, 8,020.14 and 4,327.26 is: 5,961.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.92 : 8,020.14 = 4,327.26 : x
  2. Step 2: Convert to fraction form
    5,821.92/8,020.14 = 4,327.26/x
  3. Step 3: Cross multiply
    5,821.92x = 8,020.14 × 4,327.26
  4. Step 4: Simplify right side
    5,821.92x = 34,705,231.02
  5. Step 5: Solve for x
    x = 34,705,231.02/5,821.92
  6. Step 6: Final answer
    x = 5,961.13

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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.