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Finding the Fourth Proportional to 3,934.56, 5,902.14 and 1,594.47

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Solution

The fourth proportional to 3,934.56, 5,902.14 and 1,594.47 is: 2,391.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.56 : 5,902.14 = 1,594.47 : x
  2. Step 2: Convert to fraction form
    3,934.56/5,902.14 = 1,594.47/x
  3. Step 3: Cross multiply
    3,934.56x = 5,902.14 × 1,594.47
  4. Step 4: Simplify right side
    3,934.56x = 9,410,785.17
  5. Step 5: Solve for x
    x = 9,410,785.17/3,934.56
  6. Step 6: Final answer
    x = 2,391.83

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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.