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Finding the Fourth Proportional to 4,297.97, 6,446.01 and 1,486.64

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Solution

The fourth proportional to 4,297.97, 6,446.01 and 1,486.64 is: 2,229.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.97 : 6,446.01 = 1,486.64 : x
  2. Step 2: Convert to fraction form
    4,297.97/6,446.01 = 1,486.64/x
  3. Step 3: Cross multiply
    4,297.97x = 6,446.01 × 1,486.64
  4. Step 4: Simplify right side
    4,297.97x = 9,582,896.31
  5. Step 5: Solve for x
    x = 9,582,896.31/4,297.97
  6. Step 6: Final answer
    x = 2,229.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.