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Finding the Fourth Proportional to 5,381.28, 8,072.12 and 1,486

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Solution

The fourth proportional to 5,381.28, 8,072.12 and 1,486 is: 2,229.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.28 : 8,072.12 = 1,486 : x
  2. Step 2: Convert to fraction form
    5,381.28/8,072.12 = 1,486/x
  3. Step 3: Cross multiply
    5,381.28x = 8,072.12 × 1,486
  4. Step 4: Simplify right side
    5,381.28x = 11,995,170.32
  5. Step 5: Solve for x
    x = 11,995,170.32/5,381.28
  6. Step 6: Final answer
    x = 2,229.06

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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.