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Finding the Fourth Proportional to 4,198.68, 5,794.38 and 2,520.18

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Solution

The fourth proportional to 4,198.68, 5,794.38 and 2,520.18 is: 3,477.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.68 : 5,794.38 = 2,520.18 : x
  2. Step 2: Convert to fraction form
    4,198.68/5,794.38 = 2,520.18/x
  3. Step 3: Cross multiply
    4,198.68x = 5,794.38 × 2,520.18
  4. Step 4: Simplify right side
    4,198.68x = 14,602,880.59
  5. Step 5: Solve for x
    x = 14,602,880.59/4,198.68
  6. Step 6: Final answer
    x = 3,477.97

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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.