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Finding the Fourth Proportional to 3,958.06, 5,936.97 and 1,649.50

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Solution

The fourth proportional to 3,958.06, 5,936.97 and 1,649.50 is: 2,474.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,958.06 : 5,936.97 = 1,649.50 : x
  2. Step 2: Convert to fraction form
    3,958.06/5,936.97 = 1,649.50/x
  3. Step 3: Cross multiply
    3,958.06x = 5,936.97 × 1,649.50
  4. Step 4: Simplify right side
    3,958.06x = 9,793,032.02
  5. Step 5: Solve for x
    x = 9,793,032.02/3,958.06
  6. Step 6: Final answer
    x = 2,474.20

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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.