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Finding the Fourth Proportional to 6,034.92, 8,328.21 and 3,382.38

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Solution

The fourth proportional to 6,034.92, 8,328.21 and 3,382.38 is: 4,667.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.92 : 8,328.21 = 3,382.38 : x
  2. Step 2: Convert to fraction form
    6,034.92/8,328.21 = 3,382.38/x
  3. Step 3: Cross multiply
    6,034.92x = 8,328.21 × 3,382.38
  4. Step 4: Simplify right side
    6,034.92x = 28,169,170.94
  5. Step 5: Solve for x
    x = 28,169,170.94/6,034.92
  6. Step 6: Final answer
    x = 4,667.70

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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.