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Finding the Fourth Proportional to 3,635.78, 5,008.03 and 2,571.71

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Solution

The fourth proportional to 3,635.78, 5,008.03 and 2,571.71 is: 3,542.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.78 : 5,008.03 = 2,571.71 : x
  2. Step 2: Convert to fraction form
    3,635.78/5,008.03 = 2,571.71/x
  3. Step 3: Cross multiply
    3,635.78x = 5,008.03 × 2,571.71
  4. Step 4: Simplify right side
    3,635.78x = 12,879,169.36
  5. Step 5: Solve for x
    x = 12,879,169.36/3,635.78
  6. Step 6: Final answer
    x = 3,542.34

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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.