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Finding the Fourth Proportional to 3,924.94, 5,890.50 and 3,463.65

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Solution

The fourth proportional to 3,924.94, 5,890.50 and 3,463.65 is: 5,198.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.94 : 5,890.50 = 3,463.65 : x
  2. Step 2: Convert to fraction form
    3,924.94/5,890.50 = 3,463.65/x
  3. Step 3: Cross multiply
    3,924.94x = 5,890.50 × 3,463.65
  4. Step 4: Simplify right side
    3,924.94x = 20,402,630.33
  5. Step 5: Solve for x
    x = 20,402,630.33/3,924.94
  6. Step 6: Final answer
    x = 5,198.20

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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.