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Finding the Fourth Proportional to 3,865.62, 5,796.49 and 1,891.40

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Solution

The fourth proportional to 3,865.62, 5,796.49 and 1,891.40 is: 2,836.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.62 : 5,796.49 = 1,891.40 : x
  2. Step 2: Convert to fraction form
    3,865.62/5,796.49 = 1,891.40/x
  3. Step 3: Cross multiply
    3,865.62x = 5,796.49 × 1,891.40
  4. Step 4: Simplify right side
    3,865.62x = 10,963,481.19
  5. Step 5: Solve for x
    x = 10,963,481.19/3,865.62
  6. Step 6: Final answer
    x = 2,836.15

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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.