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Finding the Fourth Proportional to 3,227.25, 4,841.69 and 918.75

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Solution

The fourth proportional to 3,227.25, 4,841.69 and 918.75 is: 1,378.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.25 : 4,841.69 = 918.75 : x
  2. Step 2: Convert to fraction form
    3,227.25/4,841.69 = 918.75/x
  3. Step 3: Cross multiply
    3,227.25x = 4,841.69 × 918.75
  4. Step 4: Simplify right side
    3,227.25x = 4,448,298.09
  5. Step 5: Solve for x
    x = 4,448,298.09/3,227.25
  6. Step 6: Final answer
    x = 1,378.36

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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.