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Finding the Fourth Proportional to 4,896.41, 7,345.02 and 1,609.43

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Solution

The fourth proportional to 4,896.41, 7,345.02 and 1,609.43 is: 2,414.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.41 : 7,345.02 = 1,609.43 : x
  2. Step 2: Convert to fraction form
    4,896.41/7,345.02 = 1,609.43/x
  3. Step 3: Cross multiply
    4,896.41x = 7,345.02 × 1,609.43
  4. Step 4: Simplify right side
    4,896.41x = 11,821,295.54
  5. Step 5: Solve for x
    x = 11,821,295.54/4,896.41
  6. Step 6: Final answer
    x = 2,414.28

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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.