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Finding the Fourth Proportional to 3,871.29, 5,343.76 and 2,299.38

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Solution

The fourth proportional to 3,871.29, 5,343.76 and 2,299.38 is: 3,173.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.29 : 5,343.76 = 2,299.38 : x
  2. Step 2: Convert to fraction form
    3,871.29/5,343.76 = 2,299.38/x
  3. Step 3: Cross multiply
    3,871.29x = 5,343.76 × 2,299.38
  4. Step 4: Simplify right side
    3,871.29x = 12,287,334.87
  5. Step 5: Solve for x
    x = 12,287,334.87/3,871.29
  6. Step 6: Final answer
    x = 3,173.96

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Why These Related Problems?

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