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Finding the Fourth Proportional to 4,884.98, 7,325.64 and 1,962.29

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Solution

The fourth proportional to 4,884.98, 7,325.64 and 1,962.29 is: 2,942.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,884.98 : 7,325.64 = 1,962.29 : x
  2. Step 2: Convert to fraction form
    4,884.98/7,325.64 = 1,962.29/x
  3. Step 3: Cross multiply
    4,884.98x = 7,325.64 × 1,962.29
  4. Step 4: Simplify right side
    4,884.98x = 14,375,048.43
  5. Step 5: Solve for x
    x = 14,375,048.43/4,884.98
  6. Step 6: Final answer
    x = 2,942.71

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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.