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Finding the Fourth Proportional to 4,138.40, 6,212.01 and 1,674.83

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Solution

The fourth proportional to 4,138.40, 6,212.01 and 1,674.83 is: 2,514.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.40 : 6,212.01 = 1,674.83 : x
  2. Step 2: Convert to fraction form
    4,138.40/6,212.01 = 1,674.83/x
  3. Step 3: Cross multiply
    4,138.40x = 6,212.01 × 1,674.83
  4. Step 4: Simplify right side
    4,138.40x = 10,404,029.65
  5. Step 5: Solve for x
    x = 10,404,029.65/4,138.40
  6. Step 6: Final answer
    x = 2,514.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.