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Finding the Fourth Proportional to 5,310.02, 7,965.22 and 1,414.44

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Solution

The fourth proportional to 5,310.02, 7,965.22 and 1,414.44 is: 2,121.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.02 : 7,965.22 = 1,414.44 : x
  2. Step 2: Convert to fraction form
    5,310.02/7,965.22 = 1,414.44/x
  3. Step 3: Cross multiply
    5,310.02x = 7,965.22 × 1,414.44
  4. Step 4: Simplify right side
    5,310.02x = 11,266,325.78
  5. Step 5: Solve for x
    x = 11,266,325.78/5,310.02
  6. Step 6: Final answer
    x = 2,121.71

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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.