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Finding the Fourth Proportional to 3,431.78, 4,755.79 and 3,366.14

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Solution

The fourth proportional to 3,431.78, 4,755.79 and 3,366.14 is: 4,664.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.78 : 4,755.79 = 3,366.14 : x
  2. Step 2: Convert to fraction form
    3,431.78/4,755.79 = 3,366.14/x
  3. Step 3: Cross multiply
    3,431.78x = 4,755.79 × 3,366.14
  4. Step 4: Simplify right side
    3,431.78x = 16,008,638.12
  5. Step 5: Solve for x
    x = 16,008,638.12/3,431.78
  6. Step 6: Final answer
    x = 4,664.82

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.