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Finding the Fourth Proportional to 3,811.93, 5,713.99 and 2,576.41

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Solution

The fourth proportional to 3,811.93, 5,713.99 and 2,576.41 is: 3,861.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.93 : 5,713.99 = 2,576.41 : x
  2. Step 2: Convert to fraction form
    3,811.93/5,713.99 = 2,576.41/x
  3. Step 3: Cross multiply
    3,811.93x = 5,713.99 × 2,576.41
  4. Step 4: Simplify right side
    3,811.93x = 14,721,580.98
  5. Step 5: Solve for x
    x = 14,721,580.98/3,811.93
  6. Step 6: Final answer
    x = 3,861.98

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Why These Related Problems?

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