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Finding the Fourth Proportional to 4,561.86, 6,293.82 and 3,721.11

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Solution

The fourth proportional to 4,561.86, 6,293.82 and 3,721.11 is: 5,133.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.86 : 6,293.82 = 3,721.11 : x
  2. Step 2: Convert to fraction form
    4,561.86/6,293.82 = 3,721.11/x
  3. Step 3: Cross multiply
    4,561.86x = 6,293.82 × 3,721.11
  4. Step 4: Simplify right side
    4,561.86x = 23,419,996.54
  5. Step 5: Solve for x
    x = 23,419,996.54/4,561.86
  6. Step 6: Final answer
    x = 5,133.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.