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Finding the Fourth Proportional to 4,965.26, 7,449.51 and 2,498.81

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Solution

The fourth proportional to 4,965.26, 7,449.51 and 2,498.81 is: 3,749.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.26 : 7,449.51 = 2,498.81 : x
  2. Step 2: Convert to fraction form
    4,965.26/7,449.51 = 2,498.81/x
  3. Step 3: Cross multiply
    4,965.26x = 7,449.51 × 2,498.81
  4. Step 4: Simplify right side
    4,965.26x = 18,614,910.08
  5. Step 5: Solve for x
    x = 18,614,910.08/4,965.26
  6. Step 6: Final answer
    x = 3,749.03

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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.