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Finding the Fourth Proportional to 5,947, 8,206.86 and 3,463

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Solution

The fourth proportional to 5,947, 8,206.86 and 3,463 is: 4,778.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947 : 8,206.86 = 3,463 : x
  2. Step 2: Convert to fraction form
    5,947/8,206.86 = 3,463/x
  3. Step 3: Cross multiply
    5,947x = 8,206.86 × 3,463
  4. Step 4: Simplify right side
    5,947x = 28,420,356.18
  5. Step 5: Solve for x
    x = 28,420,356.18/5,947
  6. Step 6: Final answer
    x = 4,778.94

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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.