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Finding the Fourth Proportional to 3,227.07, 4,840.50 and 918.57

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Solution

The fourth proportional to 3,227.07, 4,840.50 and 918.57 is: 1,377.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.07 : 4,840.50 = 918.57 : x
  2. Step 2: Convert to fraction form
    3,227.07/4,840.50 = 918.57/x
  3. Step 3: Cross multiply
    3,227.07x = 4,840.50 × 918.57
  4. Step 4: Simplify right side
    3,227.07x = 4,446,338.09
  5. Step 5: Solve for x
    x = 4,446,338.09/3,227.07
  6. Step 6: Final answer
    x = 1,377.83

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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.