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Finding the Fourth Proportional to 4,162.50, 5,744.25 and 2,299.50

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Solution

The fourth proportional to 4,162.50, 5,744.25 and 2,299.50 is: 3,173.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.50 : 5,744.25 = 2,299.50 : x
  2. Step 2: Convert to fraction form
    4,162.50/5,744.25 = 2,299.50/x
  3. Step 3: Cross multiply
    4,162.50x = 5,744.25 × 2,299.50
  4. Step 4: Simplify right side
    4,162.50x = 13,208,902.88
  5. Step 5: Solve for x
    x = 13,208,902.88/4,162.50
  6. Step 6: Final answer
    x = 3,173.31

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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.