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Finding the Fourth Proportional to 3,994.53, 5,504.34 and 3,092.82

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Solution

The fourth proportional to 3,994.53, 5,504.34 and 3,092.82 is: 4,261.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994.53 : 5,504.34 = 3,092.82 : x
  2. Step 2: Convert to fraction form
    3,994.53/5,504.34 = 3,092.82/x
  3. Step 3: Cross multiply
    3,994.53x = 5,504.34 × 3,092.82
  4. Step 4: Simplify right side
    3,994.53x = 17,023,932.84
  5. Step 5: Solve for x
    x = 17,023,932.84/3,994.53
  6. Step 6: Final answer
    x = 4,261.81

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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.