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Finding the Fourth Proportional to 4,094, 5,649.84 and 2,231.12

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Solution

The fourth proportional to 4,094, 5,649.84 and 2,231.12 is: 3,079.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094 : 5,649.84 = 2,231.12 : x
  2. Step 2: Convert to fraction form
    4,094/5,649.84 = 2,231.12/x
  3. Step 3: Cross multiply
    4,094x = 5,649.84 × 2,231.12
  4. Step 4: Simplify right side
    4,094x = 12,605,471.02
  5. Step 5: Solve for x
    x = 12,605,471.02/4,094
  6. Step 6: Final answer
    x = 3,079.01

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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.