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Finding the Fourth Proportional to 3,475.38, 4,808.49 and 3,034.56

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Solution

The fourth proportional to 3,475.38, 4,808.49 and 3,034.56 is: 4,198.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.38 : 4,808.49 = 3,034.56 : x
  2. Step 2: Convert to fraction form
    3,475.38/4,808.49 = 3,034.56/x
  3. Step 3: Cross multiply
    3,475.38x = 4,808.49 × 3,034.56
  4. Step 4: Simplify right side
    3,475.38x = 14,591,651.41
  5. Step 5: Solve for x
    x = 14,591,651.41/3,475.38
  6. Step 6: Final answer
    x = 4,198.58

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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.