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Finding the Fourth Proportional to 3,761.51, 5,190.75 and 2,189.57

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Solution

The fourth proportional to 3,761.51, 5,190.75 and 2,189.57 is: 3,021.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.51 : 5,190.75 = 2,189.57 : x
  2. Step 2: Convert to fraction form
    3,761.51/5,190.75 = 2,189.57/x
  3. Step 3: Cross multiply
    3,761.51x = 5,190.75 × 2,189.57
  4. Step 4: Simplify right side
    3,761.51x = 11,365,484.52
  5. Step 5: Solve for x
    x = 11,365,484.52/3,761.51
  6. Step 6: Final answer
    x = 3,021.53

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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.