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Finding the Fourth Proportional to 5,449.50, 7,520.31 and 2,965.50

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Solution

The fourth proportional to 5,449.50, 7,520.31 and 2,965.50 is: 4,092.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449.50 : 7,520.31 = 2,965.50 : x
  2. Step 2: Convert to fraction form
    5,449.50/7,520.31 = 2,965.50/x
  3. Step 3: Cross multiply
    5,449.50x = 7,520.31 × 2,965.50
  4. Step 4: Simplify right side
    5,449.50x = 22,301,479.31
  5. Step 5: Solve for x
    x = 22,301,479.31/5,449.50
  6. Step 6: Final answer
    x = 4,092.39

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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.