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Finding the Fourth Proportional to 4,126.82, 5,694.15 and 2,447.99

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Solution

The fourth proportional to 4,126.82, 5,694.15 and 2,447.99 is: 3,377.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,126.82 : 5,694.15 = 2,447.99 : x
  2. Step 2: Convert to fraction form
    4,126.82/5,694.15 = 2,447.99/x
  3. Step 3: Cross multiply
    4,126.82x = 5,694.15 × 2,447.99
  4. Step 4: Simplify right side
    4,126.82x = 13,939,210.55
  5. Step 5: Solve for x
    x = 13,939,210.55/4,126.82
  6. Step 6: Final answer
    x = 3,377.72

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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.