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Finding the Fourth Proportional to 3,278.58, 4,917.26 and 938.09

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Solution

The fourth proportional to 3,278.58, 4,917.26 and 938.09 is: 1,406.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.58 : 4,917.26 = 938.09 : x
  2. Step 2: Convert to fraction form
    3,278.58/4,917.26 = 938.09/x
  3. Step 3: Cross multiply
    3,278.58x = 4,917.26 × 938.09
  4. Step 4: Simplify right side
    3,278.58x = 4,612,810.19
  5. Step 5: Solve for x
    x = 4,612,810.19/3,278.58
  6. Step 6: Final answer
    x = 1,406.95

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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.