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Finding the Fourth Proportional to 5,738.82, 8,612.10 and 2,041.11

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Solution

The fourth proportional to 5,738.82, 8,612.10 and 2,041.11 is: 3,063.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.82 : 8,612.10 = 2,041.11 : x
  2. Step 2: Convert to fraction form
    5,738.82/8,612.10 = 2,041.11/x
  3. Step 3: Cross multiply
    5,738.82x = 8,612.10 × 2,041.11
  4. Step 4: Simplify right side
    5,738.82x = 17,578,243.43
  5. Step 5: Solve for x
    x = 17,578,243.43/5,738.82
  6. Step 6: Final answer
    x = 3,063.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.