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Finding the Fourth Proportional to 5,310.38, 7,965.66 and 1,414.76

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Solution

The fourth proportional to 5,310.38, 7,965.66 and 1,414.76 is: 2,122.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.38 : 7,965.66 = 1,414.76 : x
  2. Step 2: Convert to fraction form
    5,310.38/7,965.66 = 1,414.76/x
  3. Step 3: Cross multiply
    5,310.38x = 7,965.66 × 1,414.76
  4. Step 4: Simplify right side
    5,310.38x = 11,269,497.14
  5. Step 5: Solve for x
    x = 11,269,497.14/5,310.38
  6. Step 6: Final answer
    x = 2,122.16

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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.