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Finding the Fourth Proportional to 3,519.96, 4,859.82 and 2,194.20

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Solution

The fourth proportional to 3,519.96, 4,859.82 and 2,194.20 is: 3,029.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,519.96 : 4,859.82 = 2,194.20 : x
  2. Step 2: Convert to fraction form
    3,519.96/4,859.82 = 2,194.20/x
  3. Step 3: Cross multiply
    3,519.96x = 4,859.82 × 2,194.20
  4. Step 4: Simplify right side
    3,519.96x = 10,663,417.04
  5. Step 5: Solve for x
    x = 10,663,417.04/3,519.96
  6. Step 6: Final answer
    x = 3,029.41

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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.