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Finding the Fourth Proportional to 5,738.74, 8,612.26 and 2,041

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Solution

The fourth proportional to 5,738.74, 8,612.26 and 2,041 is: 3,062.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.74 : 8,612.26 = 2,041 : x
  2. Step 2: Convert to fraction form
    5,738.74/8,612.26 = 2,041/x
  3. Step 3: Cross multiply
    5,738.74x = 8,612.26 × 2,041
  4. Step 4: Simplify right side
    5,738.74x = 17,577,622.66
  5. Step 5: Solve for x
    x = 17,577,622.66/5,738.74
  6. Step 6: Final answer
    x = 3,062.98

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