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Finding the Fourth Proportional to 5,782.14, 7,982.78 and 3,796.17

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Solution

The fourth proportional to 5,782.14, 7,982.78 and 3,796.17 is: 5,240.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.14 : 7,982.78 = 3,796.17 : x
  2. Step 2: Convert to fraction form
    5,782.14/7,982.78 = 3,796.17/x
  3. Step 3: Cross multiply
    5,782.14x = 7,982.78 × 3,796.17
  4. Step 4: Simplify right side
    5,782.14x = 30,303,970.97
  5. Step 5: Solve for x
    x = 30,303,970.97/5,782.14
  6. Step 6: Final answer
    x = 5,240.96

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1.5x scale

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.