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Finding the Fourth Proportional to 4,094.07, 5,649.83 and 2,231.07

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Solution

The fourth proportional to 4,094.07, 5,649.83 and 2,231.07 is: 3,078.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094.07 : 5,649.83 = 2,231.07 : x
  2. Step 2: Convert to fraction form
    4,094.07/5,649.83 = 2,231.07/x
  3. Step 3: Cross multiply
    4,094.07x = 5,649.83 × 2,231.07
  4. Step 4: Simplify right side
    4,094.07x = 12,605,155.06
  5. Step 5: Solve for x
    x = 12,605,155.06/4,094.07
  6. Step 6: Final answer
    x = 3,078.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.