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Finding the Fourth Proportional to 5,841.63, 8,061.63 and 3,189.21

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Solution

The fourth proportional to 5,841.63, 8,061.63 and 3,189.21 is: 4,401.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,841.63 : 8,061.63 = 3,189.21 : x
  2. Step 2: Convert to fraction form
    5,841.63/8,061.63 = 3,189.21/x
  3. Step 3: Cross multiply
    5,841.63x = 8,061.63 × 3,189.21
  4. Step 4: Simplify right side
    5,841.63x = 25,710,231.01
  5. Step 5: Solve for x
    x = 25,710,231.01/5,841.63
  6. Step 6: Final answer
    x = 4,401.21

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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.