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Finding the Fourth Proportional to 3,938.22, 5,907.96 and 1,341

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Solution

The fourth proportional to 3,938.22, 5,907.96 and 1,341 is: 2,011.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,938.22 : 5,907.96 = 1,341 : x
  2. Step 2: Convert to fraction form
    3,938.22/5,907.96 = 1,341/x
  3. Step 3: Cross multiply
    3,938.22x = 5,907.96 × 1,341
  4. Step 4: Simplify right side
    3,938.22x = 7,922,574.36
  5. Step 5: Solve for x
    x = 7,922,574.36/3,938.22
  6. Step 6: Final answer
    x = 2,011.71

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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.