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Finding the Fourth Proportional to 3,761.81, 5,191.37 and 2,250.92

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Solution

The fourth proportional to 3,761.81, 5,191.37 and 2,250.92 is: 3,106.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.81 : 5,191.37 = 2,250.92 : x
  2. Step 2: Convert to fraction form
    3,761.81/5,191.37 = 2,250.92/x
  3. Step 3: Cross multiply
    3,761.81x = 5,191.37 × 2,250.92
  4. Step 4: Simplify right side
    3,761.81x = 11,685,368.73
  5. Step 5: Solve for x
    x = 11,685,368.73/3,761.81
  6. Step 6: Final answer
    x = 3,106.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.