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Finding the Fourth Proportional to 5,738.12, 8,606 and 2,040.48

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Solution

The fourth proportional to 5,738.12, 8,606 and 2,040.48 is: 3,060.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.12 : 8,606 = 2,040.48 : x
  2. Step 2: Convert to fraction form
    5,738.12/8,606 = 2,040.48/x
  3. Step 3: Cross multiply
    5,738.12x = 8,606 × 2,040.48
  4. Step 4: Simplify right side
    5,738.12x = 17,560,370.88
  5. Step 5: Solve for x
    x = 17,560,370.88/5,738.12
  6. Step 6: Final answer
    x = 3,060.30

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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.