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Finding the Fourth Proportional to 3,761.61, 5,641.37 and 2,093.69

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Solution

The fourth proportional to 3,761.61, 5,641.37 and 2,093.69 is: 3,139.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.61 : 5,641.37 = 2,093.69 : x
  2. Step 2: Convert to fraction form
    3,761.61/5,641.37 = 2,093.69/x
  3. Step 3: Cross multiply
    3,761.61x = 5,641.37 × 2,093.69
  4. Step 4: Simplify right side
    3,761.61x = 11,811,241.28
  5. Step 5: Solve for x
    x = 11,811,241.28/3,761.61
  6. Step 6: Final answer
    x = 3,139.94

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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.