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Finding the Fourth Proportional to 3,659.50, 5,046.28 and 2,464.49

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Solution

The fourth proportional to 3,659.50, 5,046.28 and 2,464.49 is: 3,398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.50 : 5,046.28 = 2,464.49 : x
  2. Step 2: Convert to fraction form
    3,659.50/5,046.28 = 2,464.49/x
  3. Step 3: Cross multiply
    3,659.50x = 5,046.28 × 2,464.49
  4. Step 4: Simplify right side
    3,659.50x = 12,436,513.05
  5. Step 5: Solve for x
    x = 12,436,513.05/3,659.50
  6. Step 6: Final answer
    x = 3,398.42

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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.