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Finding the Fourth Proportional to 4,093.53, 5,649.81 and 2,414.85

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Solution

The fourth proportional to 4,093.53, 5,649.81 and 2,414.85 is: 3,332.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.53 : 5,649.81 = 2,414.85 : x
  2. Step 2: Convert to fraction form
    4,093.53/5,649.81 = 2,414.85/x
  3. Step 3: Cross multiply
    4,093.53x = 5,649.81 × 2,414.85
  4. Step 4: Simplify right side
    4,093.53x = 13,643,443.68
  5. Step 5: Solve for x
    x = 13,643,443.68/4,093.53
  6. Step 6: Final answer
    x = 3,332.93

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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.