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Finding the Fourth Proportional to 3,793.84, 5,694.32 and 2,335.84

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Solution

The fourth proportional to 3,793.84, 5,694.32 and 2,335.84 is: 3,505.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.84 : 5,694.32 = 2,335.84 : x
  2. Step 2: Convert to fraction form
    3,793.84/5,694.32 = 2,335.84/x
  3. Step 3: Cross multiply
    3,793.84x = 5,694.32 × 2,335.84
  4. Step 4: Simplify right side
    3,793.84x = 13,301,020.43
  5. Step 5: Solve for x
    x = 13,301,020.43/3,793.84
  6. Step 6: Final answer
    x = 3,505.95

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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.