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Finding the Fourth Proportional to 3,963.09, 5,944.23 and 2,497.80

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Solution

The fourth proportional to 3,963.09, 5,944.23 and 2,497.80 is: 3,746.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.09 : 5,944.23 = 2,497.80 : x
  2. Step 2: Convert to fraction form
    3,963.09/5,944.23 = 2,497.80/x
  3. Step 3: Cross multiply
    3,963.09x = 5,944.23 × 2,497.80
  4. Step 4: Simplify right side
    3,963.09x = 14,847,497.69
  5. Step 5: Solve for x
    x = 14,847,497.69/3,963.09
  6. Step 6: Final answer
    x = 3,746.44

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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.