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Finding the Fourth Proportional to 4,093.44, 5,648.96 and 2,230.44

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Solution

The fourth proportional to 4,093.44, 5,648.96 and 2,230.44 is: 3,078.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.44 : 5,648.96 = 2,230.44 : x
  2. Step 2: Convert to fraction form
    4,093.44/5,648.96 = 2,230.44/x
  3. Step 3: Cross multiply
    4,093.44x = 5,648.96 × 2,230.44
  4. Step 4: Simplify right side
    4,093.44x = 12,599,666.34
  5. Step 5: Solve for x
    x = 12,599,666.34/4,093.44
  6. Step 6: Final answer
    x = 3,078.01

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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.