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Finding the Fourth Proportional to 3,762.82, 5,190.67 and 2,190.61

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Solution

The fourth proportional to 3,762.82, 5,190.67 and 2,190.61 is: 3,021.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.82 : 5,190.67 = 2,190.61 : x
  2. Step 2: Convert to fraction form
    3,762.82/5,190.67 = 2,190.61/x
  3. Step 3: Cross multiply
    3,762.82x = 5,190.67 × 2,190.61
  4. Step 4: Simplify right side
    3,762.82x = 11,370,733.61
  5. Step 5: Solve for x
    x = 11,370,733.61/3,762.82
  6. Step 6: Final answer
    x = 3,021.86

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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.