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Finding the Fourth Proportional to 3,687.53, 5,086.47 and 2,194.34

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Solution

The fourth proportional to 3,687.53, 5,086.47 and 2,194.34 is: 3,026.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.53 : 5,086.47 = 2,194.34 : x
  2. Step 2: Convert to fraction form
    3,687.53/5,086.47 = 2,194.34/x
  3. Step 3: Cross multiply
    3,687.53x = 5,086.47 × 2,194.34
  4. Step 4: Simplify right side
    3,687.53x = 11,161,419.15
  5. Step 5: Solve for x
    x = 11,161,419.15/3,687.53
  6. Step 6: Final answer
    x = 3,026.80

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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.