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Finding the Fourth Proportional to 3,814.93, 5,709.69 and 2,885.36

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Solution

The fourth proportional to 3,814.93, 5,709.69 and 2,885.36 is: 4,318.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.93 : 5,709.69 = 2,885.36 : x
  2. Step 2: Convert to fraction form
    3,814.93/5,709.69 = 2,885.36/x
  3. Step 3: Cross multiply
    3,814.93x = 5,709.69 × 2,885.36
  4. Step 4: Simplify right side
    3,814.93x = 16,474,511.14
  5. Step 5: Solve for x
    x = 16,474,511.14/3,814.93
  6. Step 6: Final answer
    x = 4,318.43

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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.