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Finding the Fourth Proportional to 5,841.82, 8,061.60 and 3,189.22

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Solution

The fourth proportional to 5,841.82, 8,061.60 and 3,189.22 is: 4,401.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,841.82 : 8,061.60 = 3,189.22 : x
  2. Step 2: Convert to fraction form
    5,841.82/8,061.60 = 3,189.22/x
  3. Step 3: Cross multiply
    5,841.82x = 8,061.60 × 3,189.22
  4. Step 4: Simplify right side
    5,841.82x = 25,710,215.95
  5. Step 5: Solve for x
    x = 25,710,215.95/5,841.82
  6. Step 6: Final answer
    x = 4,401.06

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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.