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Finding the Fourth Proportional to 3,934.82, 5,902.24 and 1,594.86

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Solution

The fourth proportional to 3,934.82, 5,902.24 and 1,594.86 is: 2,392.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.82 : 5,902.24 = 1,594.86 : x
  2. Step 2: Convert to fraction form
    3,934.82/5,902.24 = 1,594.86/x
  3. Step 3: Cross multiply
    3,934.82x = 5,902.24 × 1,594.86
  4. Step 4: Simplify right side
    3,934.82x = 9,413,238.51
  5. Step 5: Solve for x
    x = 9,413,238.51/3,934.82
  6. Step 6: Final answer
    x = 2,392.30

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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.