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Finding the Fourth Proportional to 3,864.25, 5,796.26 and 1,784.28

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Solution

The fourth proportional to 3,864.25, 5,796.26 and 1,784.28 is: 2,676.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.25 : 5,796.26 = 1,784.28 : x
  2. Step 2: Convert to fraction form
    3,864.25/5,796.26 = 1,784.28/x
  3. Step 3: Cross multiply
    3,864.25x = 5,796.26 × 1,784.28
  4. Step 4: Simplify right side
    3,864.25x = 10,342,150.79
  5. Step 5: Solve for x
    x = 10,342,150.79/3,864.25
  6. Step 6: Final answer
    x = 2,676.37

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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.