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Finding the Fourth Proportional to 4,230.12, 5,839 and 2,462.28

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Solution

The fourth proportional to 4,230.12, 5,839 and 2,462.28 is: 3,398.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.12 : 5,839 = 2,462.28 : x
  2. Step 2: Convert to fraction form
    4,230.12/5,839 = 2,462.28/x
  3. Step 3: Cross multiply
    4,230.12x = 5,839 × 2,462.28
  4. Step 4: Simplify right side
    4,230.12x = 14,377,252.92
  5. Step 5: Solve for x
    x = 14,377,252.92/4,230.12
  6. Step 6: Final answer
    x = 3,398.78

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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.