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Finding the Fourth Proportional to 4,968.80, 7,446.20 and 3,924.21

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Solution

The fourth proportional to 4,968.80, 7,446.20 and 3,924.21 is: 5,880.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.80 : 7,446.20 = 3,924.21 : x
  2. Step 2: Convert to fraction form
    4,968.80/7,446.20 = 3,924.21/x
  3. Step 3: Cross multiply
    4,968.80x = 7,446.20 × 3,924.21
  4. Step 4: Simplify right side
    4,968.80x = 29,220,452.50
  5. Step 5: Solve for x
    x = 29,220,452.50/4,968.80
  6. Step 6: Final answer
    x = 5,880.79

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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.