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Finding the Fourth Proportional to 6,226.70, 8,592.36 and 3,868.40

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Solution

The fourth proportional to 6,226.70, 8,592.36 and 3,868.40 is: 5,338.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,226.70 : 8,592.36 = 3,868.40 : x
  2. Step 2: Convert to fraction form
    6,226.70/8,592.36 = 3,868.40/x
  3. Step 3: Cross multiply
    6,226.70x = 8,592.36 × 3,868.40
  4. Step 4: Simplify right side
    6,226.70x = 33,238,685.42
  5. Step 5: Solve for x
    x = 33,238,685.42/6,226.70
  6. Step 6: Final answer
    x = 5,338.09

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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.