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Finding the Fourth Proportional to 3,278.35, 4,914.20 and 1,305.38

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Solution

The fourth proportional to 3,278.35, 4,914.20 and 1,305.38 is: 1,956.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.35 : 4,914.20 = 1,305.38 : x
  2. Step 2: Convert to fraction form
    3,278.35/4,914.20 = 1,305.38/x
  3. Step 3: Cross multiply
    3,278.35x = 4,914.20 × 1,305.38
  4. Step 4: Simplify right side
    3,278.35x = 6,414,892.78
  5. Step 5: Solve for x
    x = 6,414,892.78/3,278.35
  6. Step 6: Final answer
    x = 1,956.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.