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Finding the Fourth Proportional to 3,770.90, 5,193.09 and 2,721.30

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Solution

The fourth proportional to 3,770.90, 5,193.09 and 2,721.30 is: 3,747.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.90 : 5,193.09 = 2,721.30 : x
  2. Step 2: Convert to fraction form
    3,770.90/5,193.09 = 2,721.30/x
  3. Step 3: Cross multiply
    3,770.90x = 5,193.09 × 2,721.30
  4. Step 4: Simplify right side
    3,770.90x = 14,131,955.82
  5. Step 5: Solve for x
    x = 14,131,955.82/3,770.90
  6. Step 6: Final answer
    x = 3,747.63

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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.