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Finding the Fourth Proportional to 3,287.56, 4,930.10 and 1,338.70

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Solution

The fourth proportional to 3,287.56, 4,930.10 and 1,338.70 is: 2,007.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.56 : 4,930.10 = 1,338.70 : x
  2. Step 2: Convert to fraction form
    3,287.56/4,930.10 = 1,338.70/x
  3. Step 3: Cross multiply
    3,287.56x = 4,930.10 × 1,338.70
  4. Step 4: Simplify right side
    3,287.56x = 6,599,924.87
  5. Step 5: Solve for x
    x = 6,599,924.87/3,287.56
  6. Step 6: Final answer
    x = 2,007.55

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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.