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Finding the Fourth Proportional to 6,436, 8,882.22 and 4,077.28

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Solution

The fourth proportional to 6,436, 8,882.22 and 4,077.28 is: 5,626.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436 : 8,882.22 = 4,077.28 : x
  2. Step 2: Convert to fraction form
    6,436/8,882.22 = 4,077.28/x
  3. Step 3: Cross multiply
    6,436x = 8,882.22 × 4,077.28
  4. Step 4: Simplify right side
    6,436x = 36,215,297.96
  5. Step 5: Solve for x
    x = 36,215,297.96/6,436
  6. Step 6: Final answer
    x = 5,626.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.