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Finding the Fourth Proportional to 3,814.94, 5,265.05 and 2,323.73

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Solution

The fourth proportional to 3,814.94, 5,265.05 and 2,323.73 is: 3,207.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.94 : 5,265.05 = 2,323.73 : x
  2. Step 2: Convert to fraction form
    3,814.94/5,265.05 = 2,323.73/x
  3. Step 3: Cross multiply
    3,814.94x = 5,265.05 × 2,323.73
  4. Step 4: Simplify right side
    3,814.94x = 12,234,516.69
  5. Step 5: Solve for x
    x = 12,234,516.69/3,814.94
  6. Step 6: Final answer
    x = 3,207.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.