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Finding the Fourth Proportional to 4,093.81, 5,649.54 and 2,415.62

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Solution

The fourth proportional to 4,093.81, 5,649.54 and 2,415.62 is: 3,333.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.81 : 5,649.54 = 2,415.62 : x
  2. Step 2: Convert to fraction form
    4,093.81/5,649.54 = 2,415.62/x
  3. Step 3: Cross multiply
    4,093.81x = 5,649.54 × 2,415.62
  4. Step 4: Simplify right side
    4,093.81x = 13,647,147.85
  5. Step 5: Solve for x
    x = 13,647,147.85/4,093.81
  6. Step 6: Final answer
    x = 3,333.61

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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.