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Finding the Fourth Proportional to 5,286.84, 7,927.26 and 3,622.83

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Solution

The fourth proportional to 5,286.84, 7,927.26 and 3,622.83 is: 5,432.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.84 : 7,927.26 = 3,622.83 : x
  2. Step 2: Convert to fraction form
    5,286.84/7,927.26 = 3,622.83/x
  3. Step 3: Cross multiply
    5,286.84x = 7,927.26 × 3,622.83
  4. Step 4: Simplify right side
    5,286.84x = 28,719,115.35
  5. Step 5: Solve for x
    x = 28,719,115.35/5,286.84
  6. Step 6: Final answer
    x = 5,432.19

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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.