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Finding the Fourth Proportional to 4,949.88, 7,423.56 and 1,662.88

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Solution

The fourth proportional to 4,949.88, 7,423.56 and 1,662.88 is: 2,493.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.88 : 7,423.56 = 1,662.88 : x
  2. Step 2: Convert to fraction form
    4,949.88/7,423.56 = 1,662.88/x
  3. Step 3: Cross multiply
    4,949.88x = 7,423.56 × 1,662.88
  4. Step 4: Simplify right side
    4,949.88x = 12,344,489.45
  5. Step 5: Solve for x
    x = 12,344,489.45/4,949.88
  6. Step 6: Final answer
    x = 2,493.90

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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.