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Finding the Fourth Proportional to 4,093.92, 5,649.33 and 2,414.94

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Solution

The fourth proportional to 4,093.92, 5,649.33 and 2,414.94 is: 3,332.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.92 : 5,649.33 = 2,414.94 : x
  2. Step 2: Convert to fraction form
    4,093.92/5,649.33 = 2,414.94/x
  3. Step 3: Cross multiply
    4,093.92x = 5,649.33 × 2,414.94
  4. Step 4: Simplify right side
    4,093.92x = 13,642,792.99
  5. Step 5: Solve for x
    x = 13,642,792.99/4,093.92
  6. Step 6: Final answer
    x = 3,332.45

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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.