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Finding the Fourth Proportional to 4,834.38, 7,253.10 and 1,911.09

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Solution

The fourth proportional to 4,834.38, 7,253.10 and 1,911.09 is: 2,867.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,834.38 : 7,253.10 = 1,911.09 : x
  2. Step 2: Convert to fraction form
    4,834.38/7,253.10 = 1,911.09/x
  3. Step 3: Cross multiply
    4,834.38x = 7,253.10 × 1,911.09
  4. Step 4: Simplify right side
    4,834.38x = 13,861,326.88
  5. Step 5: Solve for x
    x = 13,861,326.88/4,834.38
  6. Step 6: Final answer
    x = 2,867.24

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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.