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Finding the Fourth Proportional to 3,227.06, 4,841.40 and 918.56

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Solution

The fourth proportional to 3,227.06, 4,841.40 and 918.56 is: 1,378.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.06 : 4,841.40 = 918.56 : x
  2. Step 2: Convert to fraction form
    3,227.06/4,841.40 = 918.56/x
  3. Step 3: Cross multiply
    3,227.06x = 4,841.40 × 918.56
  4. Step 4: Simplify right side
    3,227.06x = 4,447,131.93
  5. Step 5: Solve for x
    x = 4,447,131.93/3,227.06
  6. Step 6: Final answer
    x = 1,378.07

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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.