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Finding the Fourth Proportional to 4,949.49, 7,425.09 and 1,662.90

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Solution

The fourth proportional to 4,949.49, 7,425.09 and 1,662.90 is: 2,494.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.49 : 7,425.09 = 1,662.90 : x
  2. Step 2: Convert to fraction form
    4,949.49/7,425.09 = 1,662.90/x
  3. Step 3: Cross multiply
    4,949.49x = 7,425.09 × 1,662.90
  4. Step 4: Simplify right side
    4,949.49x = 12,347,182.16
  5. Step 5: Solve for x
    x = 12,347,182.16/4,949.49
  6. Step 6: Final answer
    x = 2,494.64

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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.