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Finding the Fourth Proportional to 5,732.92, 8,600.24 and 2,446

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Solution

The fourth proportional to 5,732.92, 8,600.24 and 2,446 is: 3,669.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.92 : 8,600.24 = 2,446 : x
  2. Step 2: Convert to fraction form
    5,732.92/8,600.24 = 2,446/x
  3. Step 3: Cross multiply
    5,732.92x = 8,600.24 × 2,446
  4. Step 4: Simplify right side
    5,732.92x = 21,036,187.04
  5. Step 5: Solve for x
    x = 21,036,187.04/5,732.92
  6. Step 6: Final answer
    x = 3,669.37

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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.