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Finding the Fourth Proportional to 4,806, 7,200.81 and 3,412.44

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Solution

The fourth proportional to 4,806, 7,200.81 and 3,412.44 is: 5,112.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806 : 7,200.81 = 3,412.44 : x
  2. Step 2: Convert to fraction form
    4,806/7,200.81 = 3,412.44/x
  3. Step 3: Cross multiply
    4,806x = 7,200.81 × 3,412.44
  4. Step 4: Simplify right side
    4,806x = 24,572,332.08
  5. Step 5: Solve for x
    x = 24,572,332.08/4,806
  6. Step 6: Final answer
    x = 5,112.84

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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.