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Finding the Fourth Proportional to 3,975.27, 5,491.04 and 3,025.29

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Solution

The fourth proportional to 3,975.27, 5,491.04 and 3,025.29 is: 4,178.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.27 : 5,491.04 = 3,025.29 : x
  2. Step 2: Convert to fraction form
    3,975.27/5,491.04 = 3,025.29/x
  3. Step 3: Cross multiply
    3,975.27x = 5,491.04 × 3,025.29
  4. Step 4: Simplify right side
    3,975.27x = 16,611,977.06
  5. Step 5: Solve for x
    x = 16,611,977.06/3,975.27
  6. Step 6: Final answer
    x = 4,178.83

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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.