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Finding the Fourth Proportional to 3,227.68, 4,841.57 and 1,147.65

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Solution

The fourth proportional to 3,227.68, 4,841.57 and 1,147.65 is: 1,721.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.68 : 4,841.57 = 1,147.65 : x
  2. Step 2: Convert to fraction form
    3,227.68/4,841.57 = 1,147.65/x
  3. Step 3: Cross multiply
    3,227.68x = 4,841.57 × 1,147.65
  4. Step 4: Simplify right side
    3,227.68x = 5,556,427.81
  5. Step 5: Solve for x
    x = 5,556,427.81/3,227.68
  6. Step 6: Final answer
    x = 1,721.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.