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Finding the Fourth Proportional to 4,481.84, 6,715.20 and 3,176.84

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Solution

The fourth proportional to 4,481.84, 6,715.20 and 3,176.84 is: 4,759.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,481.84 : 6,715.20 = 3,176.84 : x
  2. Step 2: Convert to fraction form
    4,481.84/6,715.20 = 3,176.84/x
  3. Step 3: Cross multiply
    4,481.84x = 6,715.20 × 3,176.84
  4. Step 4: Simplify right side
    4,481.84x = 21,333,115.97
  5. Step 5: Solve for x
    x = 21,333,115.97/4,481.84
  6. Step 6: Final answer
    x = 4,759.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.