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Finding the Fourth Proportional to 4,877.60, 6,738.74 and 3,198.38

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Solution

The fourth proportional to 4,877.60, 6,738.74 and 3,198.38 is: 4,418.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877.60 : 6,738.74 = 3,198.38 : x
  2. Step 2: Convert to fraction form
    4,877.60/6,738.74 = 3,198.38/x
  3. Step 3: Cross multiply
    4,877.60x = 6,738.74 × 3,198.38
  4. Step 4: Simplify right side
    4,877.60x = 21,553,051.24
  5. Step 5: Solve for x
    x = 21,553,051.24/4,877.60
  6. Step 6: Final answer
    x = 4,418.78

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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.