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Finding the Fourth Proportional to 4,828.92, 7,243.14 and 2,641.92

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Solution

The fourth proportional to 4,828.92, 7,243.14 and 2,641.92 is: 3,962.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,828.92 : 7,243.14 = 2,641.92 : x
  2. Step 2: Convert to fraction form
    4,828.92/7,243.14 = 2,641.92/x
  3. Step 3: Cross multiply
    4,828.92x = 7,243.14 × 2,641.92
  4. Step 4: Simplify right side
    4,828.92x = 19,135,796.43
  5. Step 5: Solve for x
    x = 19,135,796.43/4,828.92
  6. Step 6: Final answer
    x = 3,962.75

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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.