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Finding the Fourth Proportional to 5,529.56, 7,631.11 and 4,164.38

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Solution

The fourth proportional to 5,529.56, 7,631.11 and 4,164.38 is: 5,747.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,529.56 : 7,631.11 = 4,164.38 : x
  2. Step 2: Convert to fraction form
    5,529.56/7,631.11 = 4,164.38/x
  3. Step 3: Cross multiply
    5,529.56x = 7,631.11 × 4,164.38
  4. Step 4: Simplify right side
    5,529.56x = 31,778,850.53
  5. Step 5: Solve for x
    x = 31,778,850.53/5,529.56
  6. Step 6: Final answer
    x = 5,747.09

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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.