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Finding the Fourth Proportional to 3,847, 5,781.36 and 2,287.32

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Solution

The fourth proportional to 3,847, 5,781.36 and 2,287.32 is: 3,437.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847 : 5,781.36 = 2,287.32 : x
  2. Step 2: Convert to fraction form
    3,847/5,781.36 = 2,287.32/x
  3. Step 3: Cross multiply
    3,847x = 5,781.36 × 2,287.32
  4. Step 4: Simplify right side
    3,847x = 13,223,820.36
  5. Step 5: Solve for x
    x = 13,223,820.36/3,847
  6. Step 6: Final answer
    x = 3,437.44

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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.