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Finding the Fourth Proportional to 3,770.81, 5,203.98 and 2,092.31

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Solution

The fourth proportional to 3,770.81, 5,203.98 and 2,092.31 is: 2,887.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.81 : 5,203.98 = 2,092.31 : x
  2. Step 2: Convert to fraction form
    3,770.81/5,203.98 = 2,092.31/x
  3. Step 3: Cross multiply
    3,770.81x = 5,203.98 × 2,092.31
  4. Step 4: Simplify right side
    3,770.81x = 10,888,313.37
  5. Step 5: Solve for x
    x = 10,888,313.37/3,770.81
  6. Step 6: Final answer
    x = 2,887.53

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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.