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Finding the Fourth Proportional to 5,781.64, 7,982.10 and 3,795.68

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Solution

The fourth proportional to 5,781.64, 7,982.10 and 3,795.68 is: 5,240.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.64 : 7,982.10 = 3,795.68 : x
  2. Step 2: Convert to fraction form
    5,781.64/7,982.10 = 3,795.68/x
  3. Step 3: Cross multiply
    5,781.64x = 7,982.10 × 3,795.68
  4. Step 4: Simplify right side
    5,781.64x = 30,297,497.33
  5. Step 5: Solve for x
    x = 30,297,497.33/5,781.64
  6. Step 6: Final answer
    x = 5,240.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.