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Finding the Fourth Proportional to 5,809.93, 8,016.10 and 3,821.14

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Solution

The fourth proportional to 5,809.93, 8,016.10 and 3,821.14 is: 5,272.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.93 : 8,016.10 = 3,821.14 : x
  2. Step 2: Convert to fraction form
    5,809.93/8,016.10 = 3,821.14/x
  3. Step 3: Cross multiply
    5,809.93x = 8,016.10 × 3,821.14
  4. Step 4: Simplify right side
    5,809.93x = 30,630,640.82
  5. Step 5: Solve for x
    x = 30,630,640.82/5,809.93
  6. Step 6: Final answer
    x = 5,272.12

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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.