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Finding the Fourth Proportional to 6,172.29, 8,516.61 and 3,652.38

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Solution

The fourth proportional to 6,172.29, 8,516.61 and 3,652.38 is: 5,039.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.29 : 8,516.61 = 3,652.38 : x
  2. Step 2: Convert to fraction form
    6,172.29/8,516.61 = 3,652.38/x
  3. Step 3: Cross multiply
    6,172.29x = 8,516.61 × 3,652.38
  4. Step 4: Simplify right side
    6,172.29x = 31,105,896.03
  5. Step 5: Solve for x
    x = 31,105,896.03/6,172.29
  6. Step 6: Final answer
    x = 5,039.60

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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.