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Finding the Fourth Proportional to 3,796.54, 5,687.79 and 3,184.18

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Solution

The fourth proportional to 3,796.54, 5,687.79 and 3,184.18 is: 4,770.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.54 : 5,687.79 = 3,184.18 : x
  2. Step 2: Convert to fraction form
    3,796.54/5,687.79 = 3,184.18/x
  3. Step 3: Cross multiply
    3,796.54x = 5,687.79 × 3,184.18
  4. Step 4: Simplify right side
    3,796.54x = 18,110,921.00
  5. Step 5: Solve for x
    x = 18,110,921.00/3,796.54
  6. Step 6: Final answer
    x = 4,770.38

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1.5x scale

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.