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Finding the Fourth Proportional to 4,384.01, 6,049.17 and 4,162.38

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Solution

The fourth proportional to 4,384.01, 6,049.17 and 4,162.38 is: 5,743.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,384.01 : 6,049.17 = 4,162.38 : x
  2. Step 2: Convert to fraction form
    4,384.01/6,049.17 = 4,162.38/x
  3. Step 3: Cross multiply
    4,384.01x = 6,049.17 × 4,162.38
  4. Step 4: Simplify right side
    4,384.01x = 25,178,944.22
  5. Step 5: Solve for x
    x = 25,178,944.22/4,384.01
  6. Step 6: Final answer
    x = 5,743.37

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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.