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Finding the Fourth Proportional to 3,923.46, 5,859.65 and 3,515.22

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Solution

The fourth proportional to 3,923.46, 5,859.65 and 3,515.22 is: 5,249.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923.46 : 5,859.65 = 3,515.22 : x
  2. Step 2: Convert to fraction form
    3,923.46/5,859.65 = 3,515.22/x
  3. Step 3: Cross multiply
    3,923.46x = 5,859.65 × 3,515.22
  4. Step 4: Simplify right side
    3,923.46x = 20,597,967.66
  5. Step 5: Solve for x
    x = 20,597,967.66/3,923.46
  6. Step 6: Final answer
    x = 5,249.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.