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Finding the Fourth Proportional to 4,819, 7,229.52 and 2,740

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Solution

The fourth proportional to 4,819, 7,229.52 and 2,740 is: 4,110.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,819 : 7,229.52 = 2,740 : x
  2. Step 2: Convert to fraction form
    4,819/7,229.52 = 2,740/x
  3. Step 3: Cross multiply
    4,819x = 7,229.52 × 2,740
  4. Step 4: Simplify right side
    4,819x = 19,808,884.80
  5. Step 5: Solve for x
    x = 19,808,884.80/4,819
  6. Step 6: Final answer
    x = 4,110.58

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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.