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Finding the Fourth Proportional to 2,933.86, 4,053.84 and 2,309.38

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Solution

The fourth proportional to 2,933.86, 4,053.84 and 2,309.38 is: 3,190.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,933.86 : 4,053.84 = 2,309.38 : x
  2. Step 2: Convert to fraction form
    2,933.86/4,053.84 = 2,309.38/x
  3. Step 3: Cross multiply
    2,933.86x = 4,053.84 × 2,309.38
  4. Step 4: Simplify right side
    2,933.86x = 9,361,857.02
  5. Step 5: Solve for x
    x = 9,361,857.02/2,933.86
  6. Step 6: Final answer
    x = 3,190.97

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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.