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Finding the Fourth Proportional to 4,093.96, 5,649.52 and 2,415.44

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Solution

The fourth proportional to 4,093.96, 5,649.52 and 2,415.44 is: 3,333.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.96 : 5,649.52 = 2,415.44 : x
  2. Step 2: Convert to fraction form
    4,093.96/5,649.52 = 2,415.44/x
  3. Step 3: Cross multiply
    4,093.96x = 5,649.52 × 2,415.44
  4. Step 4: Simplify right side
    4,093.96x = 13,646,076.59
  5. Step 5: Solve for x
    x = 13,646,076.59/4,093.96
  6. Step 6: Final answer
    x = 3,333.22

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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.