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Finding the Fourth Proportional to 4,093.10, 5,649.17 and 2,324.46

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Solution

The fourth proportional to 4,093.10, 5,649.17 and 2,324.46 is: 3,208.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.10 : 5,649.17 = 2,324.46 : x
  2. Step 2: Convert to fraction form
    4,093.10/5,649.17 = 2,324.46/x
  3. Step 3: Cross multiply
    4,093.10x = 5,649.17 × 2,324.46
  4. Step 4: Simplify right side
    4,093.10x = 13,131,258.08
  5. Step 5: Solve for x
    x = 13,131,258.08/4,093.10
  6. Step 6: Final answer
    x = 3,208.15

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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.