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Finding the Fourth Proportional to 4,102.80, 5,662.26 and 2,424.75

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Solution

The fourth proportional to 4,102.80, 5,662.26 and 2,424.75 is: 3,346.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.80 : 5,662.26 = 2,424.75 : x
  2. Step 2: Convert to fraction form
    4,102.80/5,662.26 = 2,424.75/x
  3. Step 3: Cross multiply
    4,102.80x = 5,662.26 × 2,424.75
  4. Step 4: Simplify right side
    4,102.80x = 13,729,564.94
  5. Step 5: Solve for x
    x = 13,729,564.94/4,102.80
  6. Step 6: Final answer
    x = 3,346.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.