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Finding the Fourth Proportional to 5,932.21, 8,187.06 and 3,414.42

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Solution

The fourth proportional to 5,932.21, 8,187.06 and 3,414.42 is: 4,712.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,932.21 : 8,187.06 = 3,414.42 : x
  2. Step 2: Convert to fraction form
    5,932.21/8,187.06 = 3,414.42/x
  3. Step 3: Cross multiply
    5,932.21x = 8,187.06 × 3,414.42
  4. Step 4: Simplify right side
    5,932.21x = 27,954,020.47
  5. Step 5: Solve for x
    x = 27,954,020.47/5,932.21
  6. Step 6: Final answer
    x = 4,712.24

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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.