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Finding the Fourth Proportional to 4,494, 6,202.14 and 2,631

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Solution

The fourth proportional to 4,494, 6,202.14 and 2,631 is: 3,631.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494 : 6,202.14 = 2,631 : x
  2. Step 2: Convert to fraction form
    4,494/6,202.14 = 2,631/x
  3. Step 3: Cross multiply
    4,494x = 6,202.14 × 2,631
  4. Step 4: Simplify right side
    4,494x = 16,317,830.34
  5. Step 5: Solve for x
    x = 16,317,830.34/4,494
  6. Step 6: Final answer
    x = 3,631.03

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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.