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Finding the Fourth Proportional to 3,393.45, 5,085.92 and 1,933.43

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Solution

The fourth proportional to 3,393.45, 5,085.92 and 1,933.43 is: 2,897.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,393.45 : 5,085.92 = 1,933.43 : x
  2. Step 2: Convert to fraction form
    3,393.45/5,085.92 = 1,933.43/x
  3. Step 3: Cross multiply
    3,393.45x = 5,085.92 × 1,933.43
  4. Step 4: Simplify right side
    3,393.45x = 9,833,235.21
  5. Step 5: Solve for x
    x = 9,833,235.21/3,393.45
  6. Step 6: Final answer
    x = 2,897.71

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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.