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Finding the Fourth Proportional to 6,483.38, 8,947.84 and 3,651.82

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Solution

The fourth proportional to 6,483.38, 8,947.84 and 3,651.82 is: 5,039.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.38 : 8,947.84 = 3,651.82 : x
  2. Step 2: Convert to fraction form
    6,483.38/8,947.84 = 3,651.82/x
  3. Step 3: Cross multiply
    6,483.38x = 8,947.84 × 3,651.82
  4. Step 4: Simplify right side
    6,483.38x = 32,675,901.07
  5. Step 5: Solve for x
    x = 32,675,901.07/6,483.38
  6. Step 6: Final answer
    x = 5,039.95

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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.