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Finding the Fourth Proportional to 4,198.12, 5,792 and 2,429.08

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Solution

The fourth proportional to 4,198.12, 5,792 and 2,429.08 is: 3,351.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.12 : 5,792 = 2,429.08 : x
  2. Step 2: Convert to fraction form
    4,198.12/5,792 = 2,429.08/x
  3. Step 3: Cross multiply
    4,198.12x = 5,792 × 2,429.08
  4. Step 4: Simplify right side
    4,198.12x = 14,069,231.36
  5. Step 5: Solve for x
    x = 14,069,231.36/4,198.12
  6. Step 6: Final answer
    x = 3,351.32

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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.