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Finding the Fourth Proportional to 4,624.14, 6,380.73 and 2,736.03

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Solution

The fourth proportional to 4,624.14, 6,380.73 and 2,736.03 is: 3,775.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,624.14 : 6,380.73 = 2,736.03 : x
  2. Step 2: Convert to fraction form
    4,624.14/6,380.73 = 2,736.03/x
  3. Step 3: Cross multiply
    4,624.14x = 6,380.73 × 2,736.03
  4. Step 4: Simplify right side
    4,624.14x = 17,457,868.70
  5. Step 5: Solve for x
    x = 17,457,868.70/4,624.14
  6. Step 6: Final answer
    x = 3,775.38

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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.