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Finding the Fourth Proportional to 5,782.88, 7,983.81 and 3,796.92

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Solution

The fourth proportional to 5,782.88, 7,983.81 and 3,796.92 is: 5,242.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.88 : 7,983.81 = 3,796.92 : x
  2. Step 2: Convert to fraction form
    5,782.88/7,983.81 = 3,796.92/x
  3. Step 3: Cross multiply
    5,782.88x = 7,983.81 × 3,796.92
  4. Step 4: Simplify right side
    5,782.88x = 30,313,887.87
  5. Step 5: Solve for x
    x = 30,313,887.87/5,782.88
  6. Step 6: Final answer
    x = 5,242.00

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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.