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Finding the Fourth Proportional to 4,212.17, 5,819.13 and 3,589.17

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Solution

The fourth proportional to 4,212.17, 5,819.13 and 3,589.17 is: 4,958.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212.17 : 5,819.13 = 3,589.17 : x
  2. Step 2: Convert to fraction form
    4,212.17/5,819.13 = 3,589.17/x
  3. Step 3: Cross multiply
    4,212.17x = 5,819.13 × 3,589.17
  4. Step 4: Simplify right side
    4,212.17x = 20,885,846.82
  5. Step 5: Solve for x
    x = 20,885,846.82/4,212.17
  6. Step 6: Final answer
    x = 4,958.46

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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.