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Finding the Fourth Proportional to 4,850, 7,274.96 and 3,206.16

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Solution

The fourth proportional to 4,850, 7,274.96 and 3,206.16 is: 4,809.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,850 : 7,274.96 = 3,206.16 : x
  2. Step 2: Convert to fraction form
    4,850/7,274.96 = 3,206.16/x
  3. Step 3: Cross multiply
    4,850x = 7,274.96 × 3,206.16
  4. Step 4: Simplify right side
    4,850x = 23,324,685.75
  5. Step 5: Solve for x
    x = 23,324,685.75/4,850
  6. Step 6: Final answer
    x = 4,809.21

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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.